How to Find GCF of 972/962, 4424/598?

GCF of 972/962, 4424/598

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 972/962, 4424/598 i.e 4/22126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 972/962, 4424/598.

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 972/962,4424/598?

Given fractions are 972/962,4424/598

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 972/962,4424/598, numerators are 972,4424

Denominators are 962,598

The GCF of 972,4424 is 4 .

LCM of 962,598 is 22126.

The greatest common factor of 972/962,4424/598 = [GCF of 972,4424]/[LCM of 962,598]= 4/22126

Therefore, the GCF of 972/962,4424/598 is 4/22126.

Greatest Common Factor of 972,4424

To find the highest common factor of 972,4424, we have to find the factors of both numbers and list the highest common factor.

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

The factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424

The HCF of 972,4424 is 4.

Lets's calculate GCF of 972,4424

Greatest Common Factor (GCF) of 972,4424 By Common Division

2	972, 4424
2	486, 2212
	243, 1106

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

Greatest Common Factor of 972,4424 By Matching Biggest Common Factor Method

Now, list down the factors of 972

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Now, list down the factors of 4424

1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424

Greatest Common Factor

We found the factors 972,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 972,4424 is 4.

Lets's calculate LCM of 962,598

Lowest Common Multiple of 962,598 using Common Division

2	962, 598
13	481, 299
	37, 23

∴ So the LCM of the given numbers is 2 x 13 x 37 x 23 = 22126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22126

Therefore, the GCF of Fractions 972/962,4424/598 is 4/22126

Least Common Multiple of 962,598 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 962,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,598) = 26

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

GCF(962,598) x common factors =26 x 1 = 26

LCM(962,598) = ( 962 × 598 ) / 26

LCM(962,598) = 575276 / 26

LCM(962,598) = 22126

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FAQs on GCF of Fractions of 972/962, 4424/598

1. What is the HCF of 972,4424?

The HCF of 972,4424 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 972/962, 4424/598?

Answer: GCF of Numerators as per given numbers 972/962, 4424/598 is

GCF of Numerators i.e. for 972,4424 is 4

LCM of denominators i.e. for 962,598 is 22126.

Thus, GCF of Fractions is 4/22126.Finally, GCF of Fractions for 972/962, 4424/598 is 4/22126.