How to Find GCF of 968/932, 300/142?

GCF of 968/932, 300/142

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 968/932, 300/142 i.e 4/66172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/932, 300/142.

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 968/932,300/142?

Given fractions are 968/932,300/142

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 968/932,300/142, numerators are 968,300

Denominators are 932,142

The GCF of 968,300 is 4 .

LCM of 932,142 is 66172.

The greatest common factor of 968/932,300/142 = [GCF of 968,300]/[LCM of 932,142]= 4/66172

Therefore, the GCF of 968/932,300/142 is 4/66172.

Greatest Common Factor of 968,300

To find the highest common factor of 968,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 968,300 is 4.

Lets's calculate GCF of 968,300

Greatest Common Factor (GCF) of 968,300 By Common Division

2	968, 300
2	484, 150
	242, 75

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

Greatest Common Factor of 968,300 By Matching Biggest Common Factor Method

Now, list down the factors of 968

1,2,4,8,11,22,44,88,121,242,484,968

Now, list down the factors of 300

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 968,300 . The biggest common factor number is the GCF number.
So the greatest common factor 968,300 is 4.

Lets's calculate LCM of 932,142

Lowest Common Multiple of 932,142 using Common Division

2	932, 142
	466, 71

∴ So the LCM of the given numbers is 2 x 466 x 71 = 66172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66172

Therefore, the GCF of Fractions 968/932,300/142 is 4/66172

Least Common Multiple of 932,142 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 932,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,142) = 2

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

GCF(932,142) x common factors =2 x 1 = 2

LCM(932,142) = ( 932 × 142 ) / 2

LCM(932,142) = 132344 / 2

LCM(932,142) = 66172

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FAQs on GCF of Fractions of 968/932, 300/142

1. What is the HCF of 968,300?

The HCF of 968,300 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 968/932, 300/142?

Answer: GCF of Numerators as per given numbers 968/932, 300/142 is

GCF of Numerators i.e. for 968,300 is 4

LCM of denominators i.e. for 932,142 is 66172.

Thus, GCF of Fractions is 4/66172.Finally, GCF of Fractions for 968/932, 300/142 is 4/66172.