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GCF of 270/714, 2897/109

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 270/714, 2897/109 i.e 1/77826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 270/714, 2897/109.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 270/714,2897/109?

Given fractions are 270/714,2897/109

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 270/714,2897/109, numerators are 270,2897

Denominators are 714,109

The GCF of 270,2897 is 1 .

LCM of 714,109 is 77826.

The greatest common factor of 270/714,2897/109 = [GCF of 270,2897]/[LCM of 714,109]= 1/77826

Therefore, the GCF of 270/714,2897/109 is 1/77826.

Greatest Common Factor of 270,2897

To find the highest common factor of 270,2897, we have to find the factors of both numbers and list the highest common factor.

The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The factors of 2897 are 1, 2897

The HCF of 270,2897 is 1.

Lets's calculate GCF of 270,2897

Greatest Common Factor (GCF) of 270,2897 By Common Division

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

Greatest Common Factor of 270,2897 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,2897 By Matching Biggest Common Factor Method

Now, list down the factors of 270

:

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Now, list down the factors of 2897

:

1,2897

Greatest Common Factor

We found the factors 270,2897 . The biggest common factor number is the GCF number.
So the greatest common factor 270,2897 is 1.

Lets's calculate LCM of 714,109

Lowest Common Multiple of 714,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 77826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77826

Therefore, the GCF of Fractions 270/714,2897/109 is 1/77826

Least Common Multiple of 714,109 with GCF Formula

Least Common Multiple of 714,109 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 714,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,109) = 1

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

GCF(714,109) x common factors =1 x 1 = 1

LCM(714,109) = ( 714 × 109 ) / 1

LCM(714,109) = 77826 / 1

LCM(714,109) = 77826


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FAQs on GCF of Fractions of 270/714, 2897/109

1. What is the HCF of 270,2897?

The HCF of 270,2897 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 270/714, 2897/109?

Answer: GCF of Numerators as per given numbers 270/714, 2897/109 is

GCF of Numerators i.e. for 270,2897 is 1

LCM of denominators i.e. for 714,109 is 77826.

Thus, GCF of Fractions is 1/77826.Finally, GCF of Fractions for 270/714, 2897/109 is 1/77826.