LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 5902/460, 2747/626

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5902/460, 2747/626 i.e 1/143980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5902/460, 2747/626.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5902/460,2747/626?

Given fractions are 5902/460,2747/626

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5902/460,2747/626, numerators are 5902,2747

Denominators are 460,626

The GCF of 5902,2747 is 1 .

LCM of 460,626 is 143980.

The greatest common factor of 5902/460,2747/626 = [GCF of 5902,2747]/[LCM of 460,626]= 1/143980

Therefore, the GCF of 5902/460,2747/626 is 1/143980.

Greatest Common Factor of 5902,2747

To find the highest common factor of 5902,2747, we have to find the factors of both numbers and list the highest common factor.

The factors of 5902 are 1, 2, 13, 26, 227, 454, 2951, 5902

The factors of 2747 are 1, 41, 67, 2747

The HCF of 5902,2747 is 1.

Lets's calculate GCF of 5902,2747

Greatest Common Factor (GCF) of 5902,2747 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5902,2747 By Matching Biggest Common Factor Method

Greatest Common Factor of 5902,2747 By Matching Biggest Common Factor Method

Now, list down the factors of 5902

:

1,2,13,26,227,454,2951,5902

Now, list down the factors of 2747

:

1,41,67,2747

Greatest Common Factor

We found the factors 5902,2747 . The biggest common factor number is the GCF number.
So the greatest common factor 5902,2747 is 1.

Lets's calculate LCM of 460,626

Lowest Common Multiple of 460,626 using Common Division

2 460, 626
230, 313

∴ So the LCM of the given numbers is 2 x 230 x 313 = 143980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143980

Therefore, the GCF of Fractions 5902/460,2747/626 is 1/143980

Least Common Multiple of 460,626 with GCF Formula

Least Common Multiple of 460,626 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 460,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,626) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(460,626) x common factors =2 x 1 = 2

LCM(460,626) = ( 460 × 626 ) / 2

LCM(460,626) = 287960 / 2

LCM(460,626) = 143980


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5902/460, 2747/626

1. What is the HCF of 5902,2747?

The HCF of 5902,2747 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5902/460, 2747/626?

Answer: GCF of Numerators as per given numbers 5902/460, 2747/626 is

GCF of Numerators i.e. for 5902,2747 is 1

LCM of denominators i.e. for 460,626 is 143980.

Thus, GCF of Fractions is 1/143980.Finally, GCF of Fractions for 5902/460, 2747/626 is 1/143980.