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GCF of 219/67, 971/7313

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 219/67, 971/7313 i.e 1/489971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 219/67, 971/7313.

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 219/67,971/7313?

Given fractions are 219/67,971/7313

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 219/67,971/7313, numerators are 219,971

Denominators are 67,7313

The GCF of 219,971 is 1 .

LCM of 67,7313 is 489971.

The greatest common factor of 219/67,971/7313 = [GCF of 219,971]/[LCM of 67,7313]= 1/489971

Therefore, the GCF of 219/67,971/7313 is 1/489971.

Greatest Common Factor of 219,971

To find the highest common factor of 219,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 219 are 1, 3, 73, 219

The factors of 971 are 1, 971

The HCF of 219,971 is 1.

Lets's calculate GCF of 219,971

Greatest Common Factor (GCF) of 219,971 By Common Division

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

Greatest Common Factor of 219,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,971 By Matching Biggest Common Factor Method

Now, list down the factors of 219

:

1,3,73,219

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 219,971 . The biggest common factor number is the GCF number.
So the greatest common factor 219,971 is 1.

Lets's calculate LCM of 67,7313

Lowest Common Multiple of 67,7313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 489971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489971

Therefore, the GCF of Fractions 219/67,971/7313 is 1/489971

Least Common Multiple of 67,7313 with GCF Formula

Least Common Multiple of 67,7313 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 67,7313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,7313) = 1

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

GCF(67,7313) x common factors =1 x 1 = 1

LCM(67,7313) = ( 67 × 7313 ) / 1

LCM(67,7313) = 489971 / 1

LCM(67,7313) = 489971


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FAQs on GCF of Fractions of 219/67, 971/7313

1. What is the HCF of 219,971?

The HCF of 219,971 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 219/67, 971/7313?

Answer: GCF of Numerators as per given numbers 219/67, 971/7313 is

GCF of Numerators i.e. for 219,971 is 1

LCM of denominators i.e. for 67,7313 is 489971.

Thus, GCF of Fractions is 1/489971.Finally, GCF of Fractions for 219/67, 971/7313 is 1/489971.