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 554/444, 7649/2152

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 554/444, 7649/2152 i.e 1/238872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/444, 7649/2152.

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 554/444,7649/2152?

Given fractions are 554/444,7649/2152

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 554/444,7649/2152, numerators are 554,7649

Denominators are 444,2152

The GCF of 554,7649 is 1 .

LCM of 444,2152 is 238872.

The greatest common factor of 554/444,7649/2152 = [GCF of 554,7649]/[LCM of 444,2152]= 1/238872

Therefore, the GCF of 554/444,7649/2152 is 1/238872.

Greatest Common Factor of 554,7649

To find the highest common factor of 554,7649, we have to find the factors of both numbers and list the highest common factor.

The factors of 554 are 1, 2, 277, 554

The factors of 7649 are 1, 7649

The HCF of 554,7649 is 1.

Lets's calculate GCF of 554,7649

Greatest Common Factor (GCF) of 554,7649 By Common Division

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

Greatest Common Factor of 554,7649 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,7649 By Matching Biggest Common Factor Method

Now, list down the factors of 554

:

1,2,277,554

Now, list down the factors of 7649

:

1,7649

Greatest Common Factor

We found the factors 554,7649 . The biggest common factor number is the GCF number.
So the greatest common factor 554,7649 is 1.

Lets's calculate LCM of 444,2152

Lowest Common Multiple of 444,2152 using Common Division

2 444, 2152
2 222, 1076
111, 538

∴ So the LCM of the given numbers is 2 x 2 x 111 x 538 = 238872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238872

Therefore, the GCF of Fractions 554/444,7649/2152 is 1/238872

Least Common Multiple of 444,2152 with GCF Formula

Least Common Multiple of 444,2152 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 444,2152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,2152) = 4

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

GCF(444,2152) x common factors =4 x 1 = 4

LCM(444,2152) = ( 444 × 2152 ) / 4

LCM(444,2152) = 955488 / 4

LCM(444,2152) = 238872


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 554/444, 7649/2152

1. What is the HCF of 554,7649?

The HCF of 554,7649 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 554/444, 7649/2152?

Answer: GCF of Numerators as per given numbers 554/444, 7649/2152 is

GCF of Numerators i.e. for 554,7649 is 1

LCM of denominators i.e. for 444,2152 is 238872.

Thus, GCF of Fractions is 1/238872.Finally, GCF of Fractions for 554/444, 7649/2152 is 1/238872.