How to Find GCF of 3124/979, 7722/1025?

GCF of 3124/979, 7722/1025

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 3124/979, 7722/1025 i.e 22/1003475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3124/979, 7722/1025.

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 3124/979,7722/1025?

Given fractions are 3124/979,7722/1025

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 3124/979,7722/1025, numerators are 3124,7722

Denominators are 979,1025

The GCF of 3124,7722 is 22 .

LCM of 979,1025 is 1003475.

The greatest common factor of 3124/979,7722/1025 = [GCF of 3124,7722]/[LCM of 979,1025]= 22/1003475

Therefore, the GCF of 3124/979,7722/1025 is 22/1003475.

Greatest Common Factor of 3124,7722

To find the highest common factor of 3124,7722, we have to find the factors of both numbers and list the highest common factor.

The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722

The HCF of 3124,7722 is 22.

Lets's calculate GCF of 3124,7722

Greatest Common Factor (GCF) of 3124,7722 By Common Division

2	3124, 7722
11	1562, 3861
	142, 351

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 3124,7722 By Matching Biggest Common Factor Method

Now, list down the factors of 3124

1,2,4,11,22,44,71,142,284,781,1562,3124

Now, list down the factors of 7722

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

Greatest Common Factor

We found the factors 3124,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,7722 is 22.

Lets's calculate LCM of 979,1025

Lowest Common Multiple of 979,1025 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1003475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1003475

Therefore, the GCF of Fractions 3124/979,7722/1025 is 22/1003475

Least Common Multiple of 979,1025 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 979,1025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,1025) = 1

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

GCF(979,1025) x common factors =1 x 1 = 1

LCM(979,1025) = ( 979 × 1025 ) / 1

LCM(979,1025) = 1003475 / 1

LCM(979,1025) = 1003475

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3124/979, 7722/1025

1. What is the HCF of 3124,7722?

The HCF of 3124,7722 is 22

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 3124/979, 7722/1025?

Answer: GCF of Numerators as per given numbers 3124/979, 7722/1025 is

GCF of Numerators i.e. for 3124,7722 is 22

LCM of denominators i.e. for 979,1025 is 1003475.

Thus, GCF of Fractions is 22/1003475.Finally, GCF of Fractions for 3124/979, 7722/1025 is 22/1003475.