How to Find GCF of 9532/783, 2872/7162?

GCF of 9532/783, 2872/7162

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 9532/783, 2872/7162 i.e 4/5607846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9532/783, 2872/7162.

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 9532/783,2872/7162?

Given fractions are 9532/783,2872/7162

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 9532/783,2872/7162, numerators are 9532,2872

Denominators are 783,7162

The GCF of 9532,2872 is 4 .

LCM of 783,7162 is 5607846.

The greatest common factor of 9532/783,2872/7162 = [GCF of 9532,2872]/[LCM of 783,7162]= 4/5607846

Therefore, the GCF of 9532/783,2872/7162 is 4/5607846.

Greatest Common Factor of 9532,2872

To find the highest common factor of 9532,2872, we have to find the factors of both numbers and list the highest common factor.

The factors of 9532 are 1, 2, 4, 2383, 4766, 9532

The factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872

The HCF of 9532,2872 is 4.

Lets's calculate GCF of 9532,2872

Greatest Common Factor (GCF) of 9532,2872 By Common Division

2	9532, 2872
2	4766, 1436
	2383, 718

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

Greatest Common Factor of 9532,2872 By Matching Biggest Common Factor Method

Now, list down the factors of 9532

1,2,4,2383,4766,9532

Now, list down the factors of 2872

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors 9532,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 9532,2872 is 4.

Lets's calculate LCM of 783,7162

Lowest Common Multiple of 783,7162 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5607846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5607846

Therefore, the GCF of Fractions 9532/783,2872/7162 is 4/5607846

Least Common Multiple of 783,7162 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 783,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,7162) = 1

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

GCF(783,7162) x common factors =1 x 1 = 1

LCM(783,7162) = ( 783 × 7162 ) / 1

LCM(783,7162) = 5607846 / 1

LCM(783,7162) = 5607846

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FAQs on GCF of Fractions of 9532/783, 2872/7162

1. What is the HCF of 9532,2872?

The HCF of 9532,2872 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 9532/783, 2872/7162?

Answer: GCF of Numerators as per given numbers 9532/783, 2872/7162 is

GCF of Numerators i.e. for 9532,2872 is 4

LCM of denominators i.e. for 783,7162 is 5607846.

Thus, GCF of Fractions is 4/5607846.Finally, GCF of Fractions for 9532/783, 2872/7162 is 4/5607846.