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 1102/206, 4359/774

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 1102/206, 4359/774 i.e 1/79722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1102/206, 4359/774.

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 1102/206,4359/774?

Given fractions are 1102/206,4359/774

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 1102/206,4359/774, numerators are 1102,4359

Denominators are 206,774

The GCF of 1102,4359 is 1 .

LCM of 206,774 is 79722.

The greatest common factor of 1102/206,4359/774 = [GCF of 1102,4359]/[LCM of 206,774]= 1/79722

Therefore, the GCF of 1102/206,4359/774 is 1/79722.

Greatest Common Factor of 1102,4359

To find the highest common factor of 1102,4359, we have to find the factors of both numbers and list the highest common factor.

The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102

The factors of 4359 are 1, 3, 1453, 4359

The HCF of 1102,4359 is 1.

Lets's calculate GCF of 1102,4359

Greatest Common Factor (GCF) of 1102,4359 By Common Division

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

Greatest Common Factor of 1102,4359 By Matching Biggest Common Factor Method

Greatest Common Factor of 1102,4359 By Matching Biggest Common Factor Method

Now, list down the factors of 1102

:

1,2,19,29,38,58,551,1102

Now, list down the factors of 4359

:

1,3,1453,4359

Greatest Common Factor

We found the factors 1102,4359 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,4359 is 1.

Lets's calculate LCM of 206,774

Lowest Common Multiple of 206,774 using Common Division

2 206, 774
103, 387

∴ So the LCM of the given numbers is 2 x 103 x 387 = 79722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79722

Therefore, the GCF of Fractions 1102/206,4359/774 is 1/79722

Least Common Multiple of 206,774 with GCF Formula

Least Common Multiple of 206,774 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 206,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,774) = 2

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

GCF(206,774) x common factors =2 x 1 = 2

LCM(206,774) = ( 206 × 774 ) / 2

LCM(206,774) = 159444 / 2

LCM(206,774) = 79722


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1102/206, 4359/774

1. What is the HCF of 1102,4359?

The HCF of 1102,4359 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 1102/206, 4359/774?

Answer: GCF of Numerators as per given numbers 1102/206, 4359/774 is

GCF of Numerators i.e. for 1102,4359 is 1

LCM of denominators i.e. for 206,774 is 79722.

Thus, GCF of Fractions is 1/79722.Finally, GCF of Fractions for 1102/206, 4359/774 is 1/79722.