How to Find GCF of 9911/359, 7436/7334?

GCF of 9911/359, 7436/7334

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 9911/359, 7436/7334 i.e 11/2632906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9911/359, 7436/7334.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9911/359,7436/7334?

Given fractions are 9911/359,7436/7334

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 9911/359,7436/7334, numerators are 9911,7436

Denominators are 359,7334

The GCF of 9911,7436 is 11 .

LCM of 359,7334 is 2632906.

The greatest common factor of 9911/359,7436/7334 = [GCF of 9911,7436]/[LCM of 359,7334]= 11/2632906

Therefore, the GCF of 9911/359,7436/7334 is 11/2632906.

Greatest Common Factor of 9911,7436

To find the highest common factor of 9911,7436, we have to find the factors of both numbers and list the highest common factor.

The factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911

The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436

The HCF of 9911,7436 is 11.

Lets's calculate GCF of 9911,7436

Greatest Common Factor (GCF) of 9911,7436 By Common Division

11	9911, 7436
	901, 676

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9911,7436 By Matching Biggest Common Factor Method

Now, list down the factors of 9911

1,11,17,53,187,583,901,9911

Now, list down the factors of 7436

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Greatest Common Factor

We found the factors 9911,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 9911,7436 is 11.

Lets's calculate LCM of 359,7334

Lowest Common Multiple of 359,7334 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2632906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2632906

Therefore, the GCF of Fractions 9911/359,7436/7334 is 11/2632906

Least Common Multiple of 359,7334 with GCF Formula

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

We need to calculate greatest common factor of 359,7334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,7334) = 1

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

GCF(359,7334) x common factors =1 x 1 = 1

LCM(359,7334) = ( 359 × 7334 ) / 1

LCM(359,7334) = 2632906 / 1

LCM(359,7334) = 2632906

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FAQs on GCF of Fractions of 9911/359, 7436/7334

1. What is the HCF of 9911,7436?

The HCF of 9911,7436 is 11

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 9911/359, 7436/7334?

Answer: GCF of Numerators as per given numbers 9911/359, 7436/7334 is

GCF of Numerators i.e. for 9911,7436 is 11

LCM of denominators i.e. for 359,7334 is 2632906.

Thus, GCF of Fractions is 11/2632906.Finally, GCF of Fractions for 9911/359, 7436/7334 is 11/2632906.