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GCF of 571/35, 971/208

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 571/35, 971/208 i.e 1/7280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 571/35, 971/208.

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 571/35,971/208?

Given fractions are 571/35,971/208

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 571/35,971/208, numerators are 571,971

Denominators are 35,208

The GCF of 571,971 is 1 .

LCM of 35,208 is 7280.

The greatest common factor of 571/35,971/208 = [GCF of 571,971]/[LCM of 35,208]= 1/7280

Therefore, the GCF of 571/35,971/208 is 1/7280.

Greatest Common Factor of 571,971

To find the highest common factor of 571,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 571 are 1, 571

The factors of 971 are 1, 971

The HCF of 571,971 is 1.

Lets's calculate GCF of 571,971

Greatest Common Factor (GCF) of 571,971 By Common Division

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

Greatest Common Factor of 571,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,971 By Matching Biggest Common Factor Method

Now, list down the factors of 571

:

1,571

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 571,971 . The biggest common factor number is the GCF number.
So the greatest common factor 571,971 is 1.

Lets's calculate LCM of 35,208

Lowest Common Multiple of 35,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7280

Therefore, the GCF of Fractions 571/35,971/208 is 1/7280

Least Common Multiple of 35,208 with GCF Formula

Least Common Multiple of 35,208 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 35,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,208) = 1

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

GCF(35,208) x common factors =1 x 1 = 1

LCM(35,208) = ( 35 × 208 ) / 1

LCM(35,208) = 7280 / 1

LCM(35,208) = 7280


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FAQs on GCF of Fractions of 571/35, 971/208

1. What is the HCF of 571,971?

The HCF of 571,971 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 571/35, 971/208?

Answer: GCF of Numerators as per given numbers 571/35, 971/208 is

GCF of Numerators i.e. for 571,971 is 1

LCM of denominators i.e. for 35,208 is 7280.

Thus, GCF of Fractions is 1/7280.Finally, GCF of Fractions for 571/35, 971/208 is 1/7280.