How to Find GCF of 5396/837, 7424/940?

GCF of 5396/837, 7424/940

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 5396/837, 7424/940 i.e 4/786780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5396/837, 7424/940.

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 5396/837,7424/940?

Given fractions are 5396/837,7424/940

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 5396/837,7424/940, numerators are 5396,7424

Denominators are 837,940

The GCF of 5396,7424 is 4 .

LCM of 837,940 is 786780.

The greatest common factor of 5396/837,7424/940 = [GCF of 5396,7424]/[LCM of 837,940]= 4/786780

Therefore, the GCF of 5396/837,7424/940 is 4/786780.

Greatest Common Factor of 5396,7424

To find the highest common factor of 5396,7424, we have to find the factors of both numbers and list the highest common factor.

The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396

The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

The HCF of 5396,7424 is 4.

Lets's calculate GCF of 5396,7424

Greatest Common Factor (GCF) of 5396,7424 By Common Division

2	5396, 7424
2	2698, 3712
	1349, 1856

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

Greatest Common Factor of 5396,7424 By Matching Biggest Common Factor Method

Now, list down the factors of 5396

1,2,4,19,38,71,76,142,284,1349,2698,5396

Now, list down the factors of 7424

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Greatest Common Factor

We found the factors 5396,7424 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,7424 is 4.

Lets's calculate LCM of 837,940

Lowest Common Multiple of 837,940 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 786780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/786780

Therefore, the GCF of Fractions 5396/837,7424/940 is 4/786780

Least Common Multiple of 837,940 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 837,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,940) = 1

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

GCF(837,940) x common factors =1 x 1 = 1

LCM(837,940) = ( 837 × 940 ) / 1

LCM(837,940) = 786780 / 1

LCM(837,940) = 786780

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5396/837, 7424/940

1. What is the HCF of 5396,7424?

The HCF of 5396,7424 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 5396/837, 7424/940?

Answer: GCF of Numerators as per given numbers 5396/837, 7424/940 is

GCF of Numerators i.e. for 5396,7424 is 4

LCM of denominators i.e. for 837,940 is 786780.

Thus, GCF of Fractions is 4/786780.Finally, GCF of Fractions for 5396/837, 7424/940 is 4/786780.