How to Find GCF of 6872/237, 1123/9119?

GCF of 6872/237, 1123/9119

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 6872/237, 1123/9119 i.e 1/2161203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6872/237, 1123/9119.

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 6872/237,1123/9119?

Given fractions are 6872/237,1123/9119

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 6872/237,1123/9119, numerators are 6872,1123

Denominators are 237,9119

The GCF of 6872,1123 is 1 .

LCM of 237,9119 is 2161203.

The greatest common factor of 6872/237,1123/9119 = [GCF of 6872,1123]/[LCM of 237,9119]= 1/2161203

Therefore, the GCF of 6872/237,1123/9119 is 1/2161203.

Greatest Common Factor of 6872,1123

To find the highest common factor of 6872,1123, we have to find the factors of both numbers and list the highest common factor.

The factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872

The factors of 1123 are 1, 1123

The HCF of 6872,1123 is 1.

Lets's calculate GCF of 6872,1123

Greatest Common Factor (GCF) of 6872,1123 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6872,1123 By Matching Biggest Common Factor Method

Now, list down the factors of 6872

1,2,4,8,859,1718,3436,6872

Now, list down the factors of 1123

1,1123

Greatest Common Factor

We found the factors 6872,1123 . The biggest common factor number is the GCF number.
So the greatest common factor 6872,1123 is 1.

Lets's calculate LCM of 237,9119

Lowest Common Multiple of 237,9119 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2161203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2161203

Therefore, the GCF of Fractions 6872/237,1123/9119 is 1/2161203

Least Common Multiple of 237,9119 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 237,9119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,9119) = 1

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

GCF(237,9119) x common factors =1 x 1 = 1

LCM(237,9119) = ( 237 × 9119 ) / 1

LCM(237,9119) = 2161203 / 1

LCM(237,9119) = 2161203

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FAQs on GCF of Fractions of 6872/237, 1123/9119

1. What is the HCF of 6872,1123?

The HCF of 6872,1123 is 1

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 6872/237, 1123/9119?

Answer: GCF of Numerators as per given numbers 6872/237, 1123/9119 is

GCF of Numerators i.e. for 6872,1123 is 1

LCM of denominators i.e. for 237,9119 is 2161203.

Thus, GCF of Fractions is 1/2161203.Finally, GCF of Fractions for 6872/237, 1123/9119 is 1/2161203.