How to Find GCF of 1157/883, 2087/9010?

GCF of 1157/883, 2087/9010

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 1157/883, 2087/9010 i.e 1/7955830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1157/883, 2087/9010.

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 1157/883,2087/9010?

Given fractions are 1157/883,2087/9010

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 1157/883,2087/9010, numerators are 1157,2087

Denominators are 883,9010

The GCF of 1157,2087 is 1 .

LCM of 883,9010 is 7955830.

The greatest common factor of 1157/883,2087/9010 = [GCF of 1157,2087]/[LCM of 883,9010]= 1/7955830

Therefore, the GCF of 1157/883,2087/9010 is 1/7955830.

Greatest Common Factor of 1157,2087

To find the highest common factor of 1157,2087, we have to find the factors of both numbers and list the highest common factor.

The factors of 1157 are 1, 13, 89, 1157

The factors of 2087 are 1, 2087

The HCF of 1157,2087 is 1.

Lets's calculate GCF of 1157,2087

Greatest Common Factor (GCF) of 1157,2087 By Common Division

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

Greatest Common Factor of 1157,2087 By Matching Biggest Common Factor Method

Now, list down the factors of 1157

1,13,89,1157

Now, list down the factors of 2087

1,2087

Greatest Common Factor

We found the factors 1157,2087 . The biggest common factor number is the GCF number.
So the greatest common factor 1157,2087 is 1.

Lets's calculate LCM of 883,9010

Lowest Common Multiple of 883,9010 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7955830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7955830

Therefore, the GCF of Fractions 1157/883,2087/9010 is 1/7955830

Least Common Multiple of 883,9010 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 883,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,9010) = 1

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

GCF(883,9010) x common factors =1 x 1 = 1

LCM(883,9010) = ( 883 × 9010 ) / 1

LCM(883,9010) = 7955830 / 1

LCM(883,9010) = 7955830

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FAQs on GCF of Fractions of 1157/883, 2087/9010

1. What is the HCF of 1157,2087?

The HCF of 1157,2087 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 1157/883, 2087/9010?

Answer: GCF of Numerators as per given numbers 1157/883, 2087/9010 is

GCF of Numerators i.e. for 1157,2087 is 1

LCM of denominators i.e. for 883,9010 is 7955830.

Thus, GCF of Fractions is 1/7955830.Finally, GCF of Fractions for 1157/883, 2087/9010 is 1/7955830.