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GCF of 7111/252, 5209/9796

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 7111/252, 5209/9796 i.e 1/617148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7111/252, 5209/9796.

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 7111/252,5209/9796?

Given fractions are 7111/252,5209/9796

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 7111/252,5209/9796, numerators are 7111,5209

Denominators are 252,9796

The GCF of 7111,5209 is 1 .

LCM of 252,9796 is 617148.

The greatest common factor of 7111/252,5209/9796 = [GCF of 7111,5209]/[LCM of 252,9796]= 1/617148

Therefore, the GCF of 7111/252,5209/9796 is 1/617148.

Greatest Common Factor of 7111,5209

To find the highest common factor of 7111,5209, we have to find the factors of both numbers and list the highest common factor.

The factors of 7111 are 1, 13, 547, 7111

The factors of 5209 are 1, 5209

The HCF of 7111,5209 is 1.

Lets's calculate GCF of 7111,5209

Greatest Common Factor (GCF) of 7111,5209 By Common Division

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

Greatest Common Factor of 7111,5209 By Matching Biggest Common Factor Method

Greatest Common Factor of 7111,5209 By Matching Biggest Common Factor Method

Now, list down the factors of 7111

:

1,13,547,7111

Now, list down the factors of 5209

:

1,5209

Greatest Common Factor

We found the factors 7111,5209 . The biggest common factor number is the GCF number.
So the greatest common factor 7111,5209 is 1.

Lets's calculate LCM of 252,9796

Lowest Common Multiple of 252,9796 using Common Division

2 252, 9796
2 126, 4898
63, 2449

∴ So the LCM of the given numbers is 2 x 2 x 63 x 2449 = 617148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/617148

Therefore, the GCF of Fractions 7111/252,5209/9796 is 1/617148

Least Common Multiple of 252,9796 with GCF Formula

Least Common Multiple of 252,9796 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 252,9796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,9796) = 4

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

GCF(252,9796) x common factors =4 x 1 = 4

LCM(252,9796) = ( 252 × 9796 ) / 4

LCM(252,9796) = 2468592 / 4

LCM(252,9796) = 617148


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FAQs on GCF of Fractions of 7111/252, 5209/9796

1. What is the HCF of 7111,5209?

The HCF of 7111,5209 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 7111/252, 5209/9796?

Answer: GCF of Numerators as per given numbers 7111/252, 5209/9796 is

GCF of Numerators i.e. for 7111,5209 is 1

LCM of denominators i.e. for 252,9796 is 617148.

Thus, GCF of Fractions is 1/617148.Finally, GCF of Fractions for 7111/252, 5209/9796 is 1/617148.