How to Find GCF of 52/212, 9074/6162?

GCF of 52/212, 9074/6162

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 52/212, 9074/6162 i.e 26/653172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/212, 9074/6162.

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 52/212,9074/6162?

Given fractions are 52/212,9074/6162

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 52/212,9074/6162, numerators are 52,9074

Denominators are 212,6162

The GCF of 52,9074 is 26 .

LCM of 212,6162 is 653172.

The greatest common factor of 52/212,9074/6162 = [GCF of 52,9074]/[LCM of 212,6162]= 26/653172

Therefore, the GCF of 52/212,9074/6162 is 26/653172.

Greatest Common Factor of 52,9074

To find the highest common factor of 52,9074, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074

The HCF of 52,9074 is 26.

Lets's calculate GCF of 52,9074

Greatest Common Factor (GCF) of 52,9074 By Common Division

2	52, 9074
13	26, 4537
	2, 349

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 52,9074 By Matching Biggest Common Factor Method

Now, list down the factors of 52

1,2,4,13,26,52

Now, list down the factors of 9074

1,2,13,26,349,698,4537,9074

Greatest Common Factor

We found the factors 52,9074 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9074 is 26.

Lets's calculate LCM of 212,6162

Lowest Common Multiple of 212,6162 using Common Division

2	212, 6162
	106, 3081

∴ So the LCM of the given numbers is 2 x 106 x 3081 = 653172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/653172

Therefore, the GCF of Fractions 52/212,9074/6162 is 26/653172

Least Common Multiple of 212,6162 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 212,6162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,6162) = 2

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

GCF(212,6162) x common factors =2 x 1 = 2

LCM(212,6162) = ( 212 × 6162 ) / 2

LCM(212,6162) = 1306344 / 2

LCM(212,6162) = 653172

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FAQs on GCF of Fractions of 52/212, 9074/6162

1. What is the HCF of 52,9074?

The HCF of 52,9074 is 26

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 52/212, 9074/6162?

Answer: GCF of Numerators as per given numbers 52/212, 9074/6162 is

GCF of Numerators i.e. for 52,9074 is 26

LCM of denominators i.e. for 212,6162 is 653172.

Thus, GCF of Fractions is 26/653172.Finally, GCF of Fractions for 52/212, 9074/6162 is 26/653172.