How to Find GCF of 9172/137, 8844/781?

GCF of 9172/137, 8844/781

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 9172/137, 8844/781 i.e 4/106997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9172/137, 8844/781.

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 9172/137,8844/781?

Given fractions are 9172/137,8844/781

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 9172/137,8844/781, numerators are 9172,8844

Denominators are 137,781

The GCF of 9172,8844 is 4 .

LCM of 137,781 is 106997.

The greatest common factor of 9172/137,8844/781 = [GCF of 9172,8844]/[LCM of 137,781]= 4/106997

Therefore, the GCF of 9172/137,8844/781 is 4/106997.

Greatest Common Factor of 9172,8844

To find the highest common factor of 9172,8844, we have to find the factors of both numbers and list the highest common factor.

The factors of 9172 are 1, 2, 4, 2293, 4586, 9172

The factors of 8844 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844

The HCF of 9172,8844 is 4.

Lets's calculate GCF of 9172,8844

Greatest Common Factor (GCF) of 9172,8844 By Common Division

2	9172, 8844
2	4586, 4422
	2293, 2211

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9172,8844 By Matching Biggest Common Factor Method

Now, list down the factors of 9172

1,2,4,2293,4586,9172

Now, list down the factors of 8844

1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844

Greatest Common Factor

We found the factors 9172,8844 . The biggest common factor number is the GCF number.
So the greatest common factor 9172,8844 is 4.

Lets's calculate LCM of 137,781

Lowest Common Multiple of 137,781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/106997

Therefore, the GCF of Fractions 9172/137,8844/781 is 4/106997

Least Common Multiple of 137,781 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 137,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,781) = 1

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

GCF(137,781) x common factors =1 x 1 = 1

LCM(137,781) = ( 137 × 781 ) / 1

LCM(137,781) = 106997 / 1

LCM(137,781) = 106997

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FAQs on GCF of Fractions of 9172/137, 8844/781

1. What is the HCF of 9172,8844?

The HCF of 9172,8844 is 4

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 9172/137, 8844/781?

Answer: GCF of Numerators as per given numbers 9172/137, 8844/781 is

GCF of Numerators i.e. for 9172,8844 is 4

LCM of denominators i.e. for 137,781 is 106997.

Thus, GCF of Fractions is 4/106997.Finally, GCF of Fractions for 9172/137, 8844/781 is 4/106997.