How to Find GCF of 4940/360, 9172/9556?

GCF of 4940/360, 9172/9556

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 4940/360, 9172/9556 i.e 4/860040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4940/360, 9172/9556.

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 4940/360,9172/9556?

Given fractions are 4940/360,9172/9556

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 4940/360,9172/9556, numerators are 4940,9172

Denominators are 360,9556

The GCF of 4940,9172 is 4 .

LCM of 360,9556 is 860040.

The greatest common factor of 4940/360,9172/9556 = [GCF of 4940,9172]/[LCM of 360,9556]= 4/860040

Therefore, the GCF of 4940/360,9172/9556 is 4/860040.

Greatest Common Factor of 4940,9172

To find the highest common factor of 4940,9172, we have to find the factors of both numbers and list the highest common factor.

The factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940

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

The HCF of 4940,9172 is 4.

Lets's calculate GCF of 4940,9172

Greatest Common Factor (GCF) of 4940,9172 By Common Division

2	4940, 9172
2	2470, 4586
	1235, 2293

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

Greatest Common Factor of 4940,9172 By Matching Biggest Common Factor Method

Now, list down the factors of 4940

1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940

Now, list down the factors of 9172

1,2,4,2293,4586,9172

Greatest Common Factor

We found the factors 4940,9172 . The biggest common factor number is the GCF number.
So the greatest common factor 4940,9172 is 4.

Lets's calculate LCM of 360,9556

Lowest Common Multiple of 360,9556 using Common Division

2	360, 9556
2	180, 4778
	90, 2389

∴ So the LCM of the given numbers is 2 x 2 x 90 x 2389 = 860040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/860040

Therefore, the GCF of Fractions 4940/360,9172/9556 is 4/860040

Least Common Multiple of 360,9556 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 360,9556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,9556) = 4

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

GCF(360,9556) x common factors =4 x 1 = 4

LCM(360,9556) = ( 360 × 9556 ) / 4

LCM(360,9556) = 3440160 / 4

LCM(360,9556) = 860040

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FAQs on GCF of Fractions of 4940/360, 9172/9556

1. What is the HCF of 4940,9172?

The HCF of 4940,9172 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 4940/360, 9172/9556?

Answer: GCF of Numerators as per given numbers 4940/360, 9172/9556 is

GCF of Numerators i.e. for 4940,9172 is 4

LCM of denominators i.e. for 360,9556 is 860040.

Thus, GCF of Fractions is 4/860040.Finally, GCF of Fractions for 4940/360, 9172/9556 is 4/860040.