How to Find GCF of 9262/972, 3164/596?

GCF of 9262/972, 3164/596

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 9262/972, 3164/596 i.e 2/144828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9262/972, 3164/596.

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 9262/972,3164/596?

Given fractions are 9262/972,3164/596

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 9262/972,3164/596, numerators are 9262,3164

Denominators are 972,596

The GCF of 9262,3164 is 2 .

LCM of 972,596 is 144828.

The greatest common factor of 9262/972,3164/596 = [GCF of 9262,3164]/[LCM of 972,596]= 2/144828

Therefore, the GCF of 9262/972,3164/596 is 2/144828.

Greatest Common Factor of 9262,3164

To find the highest common factor of 9262,3164, we have to find the factors of both numbers and list the highest common factor.

The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262

The factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164

The HCF of 9262,3164 is 2.

Lets's calculate GCF of 9262,3164

Greatest Common Factor (GCF) of 9262,3164 By Common Division

2	9262, 3164
	4631, 1582

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

Greatest Common Factor of 9262,3164 By Matching Biggest Common Factor Method

Now, list down the factors of 9262

1,2,11,22,421,842,4631,9262

Now, list down the factors of 3164

1,2,4,7,14,28,113,226,452,791,1582,3164

Greatest Common Factor

We found the factors 9262,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 9262,3164 is 2.

Lets's calculate LCM of 972,596

Lowest Common Multiple of 972,596 using Common Division

2	972, 596
2	486, 298
	243, 149

∴ So the LCM of the given numbers is 2 x 2 x 243 x 149 = 144828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144828

Therefore, the GCF of Fractions 9262/972,3164/596 is 2/144828

Least Common Multiple of 972,596 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 972,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,596) = 4

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

GCF(972,596) x common factors =4 x 1 = 4

LCM(972,596) = ( 972 × 596 ) / 4

LCM(972,596) = 579312 / 4

LCM(972,596) = 144828

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FAQs on GCF of Fractions of 9262/972, 3164/596

1. What is the HCF of 9262,3164?

The HCF of 9262,3164 is 2

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 9262/972, 3164/596?

Answer: GCF of Numerators as per given numbers 9262/972, 3164/596 is

GCF of Numerators i.e. for 9262,3164 is 2

LCM of denominators i.e. for 972,596 is 144828.

Thus, GCF of Fractions is 2/144828.Finally, GCF of Fractions for 9262/972, 3164/596 is 2/144828.