How to Find GCF of 1153/538, 2500/719?

GCF of 1153/538, 2500/719

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 1153/538, 2500/719 i.e 1/386822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1153/538, 2500/719.

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 1153/538,2500/719?

Given fractions are 1153/538,2500/719

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 1153/538,2500/719, numerators are 1153,2500

Denominators are 538,719

The GCF of 1153,2500 is 1 .

LCM of 538,719 is 386822.

The greatest common factor of 1153/538,2500/719 = [GCF of 1153,2500]/[LCM of 538,719]= 1/386822

Therefore, the GCF of 1153/538,2500/719 is 1/386822.

Greatest Common Factor of 1153,2500

To find the highest common factor of 1153,2500, we have to find the factors of both numbers and list the highest common factor.

The factors of 1153 are 1, 1153

The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

The HCF of 1153,2500 is 1.

Lets's calculate GCF of 1153,2500

Greatest Common Factor (GCF) of 1153,2500 By Common Division

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

Greatest Common Factor of 1153,2500 By Matching Biggest Common Factor Method

Now, list down the factors of 1153

1,1153

Now, list down the factors of 2500

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Greatest Common Factor

We found the factors 1153,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 1153,2500 is 1.

Lets's calculate LCM of 538,719

Lowest Common Multiple of 538,719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 386822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386822

Therefore, the GCF of Fractions 1153/538,2500/719 is 1/386822

Least Common Multiple of 538,719 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 538,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,719) = 1

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

GCF(538,719) x common factors =1 x 1 = 1

LCM(538,719) = ( 538 × 719 ) / 1

LCM(538,719) = 386822 / 1

LCM(538,719) = 386822

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FAQs on GCF of Fractions of 1153/538, 2500/719

1. What is the HCF of 1153,2500?

The HCF of 1153,2500 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 1153/538, 2500/719?

Answer: GCF of Numerators as per given numbers 1153/538, 2500/719 is

GCF of Numerators i.e. for 1153,2500 is 1

LCM of denominators i.e. for 538,719 is 386822.

Thus, GCF of Fractions is 1/386822.Finally, GCF of Fractions for 1153/538, 2500/719 is 1/386822.