How to Find GCF of 5452/761, 3196/9852?

GCF of 5452/761, 3196/9852

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 5452/761, 3196/9852 i.e 188/7497372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5452/761, 3196/9852.

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 5452/761,3196/9852?

Given fractions are 5452/761,3196/9852

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 5452/761,3196/9852, numerators are 5452,3196

Denominators are 761,9852

The GCF of 5452,3196 is 188 .

LCM of 761,9852 is 7497372.

The greatest common factor of 5452/761,3196/9852 = [GCF of 5452,3196]/[LCM of 761,9852]= 188/7497372

Therefore, the GCF of 5452/761,3196/9852 is 188/7497372.

Greatest Common Factor of 5452,3196

To find the highest common factor of 5452,3196, we have to find the factors of both numbers and list the highest common factor.

The factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452

The factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196

The HCF of 5452,3196 is 188.

Lets's calculate GCF of 5452,3196

Greatest Common Factor (GCF) of 5452,3196 By Common Division

2	5452, 3196
2	2726, 1598
47	1363, 799
	29, 17

∴ So the GCF of the given numbers is 2 x 2 x 47 = 188

Greatest Common Factor of 5452,3196 By Matching Biggest Common Factor Method

Now, list down the factors of 5452

1,2,4,29,47,58,94,116,188,1363,2726,5452

Now, list down the factors of 3196

1,2,4,17,34,47,68,94,188,799,1598,3196

Greatest Common Factor

We found the factors 5452,3196 . The biggest common factor number is the GCF number.
So the greatest common factor 5452,3196 is 188.

Lets's calculate LCM of 761,9852

Lowest Common Multiple of 761,9852 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7497372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 188/7497372

Therefore, the GCF of Fractions 5452/761,3196/9852 is 188/7497372

Least Common Multiple of 761,9852 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 761,9852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,9852) = 1

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

GCF(761,9852) x common factors =1 x 1 = 1

LCM(761,9852) = ( 761 × 9852 ) / 1

LCM(761,9852) = 7497372 / 1

LCM(761,9852) = 7497372

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FAQs on GCF of Fractions of 5452/761, 3196/9852

1. What is the HCF of 5452,3196?

The HCF of 5452,3196 is 188

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 5452/761, 3196/9852?

Answer: GCF of Numerators as per given numbers 5452/761, 3196/9852 is

GCF of Numerators i.e. for 5452,3196 is 188

LCM of denominators i.e. for 761,9852 is 7497372.

Thus, GCF of Fractions is 188/7497372.Finally, GCF of Fractions for 5452/761, 3196/9852 is 188/7497372.