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GCF of 712/211, 310/545

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 712/211, 310/545 i.e 2/114995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 712/211, 310/545.

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 712/211,310/545?

Given fractions are 712/211,310/545

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 712/211,310/545, numerators are 712,310

Denominators are 211,545

The GCF of 712,310 is 2 .

LCM of 211,545 is 114995.

The greatest common factor of 712/211,310/545 = [GCF of 712,310]/[LCM of 211,545]= 2/114995

Therefore, the GCF of 712/211,310/545 is 2/114995.

Greatest Common Factor of 712,310

To find the highest common factor of 712,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 712,310 is 2.

Lets's calculate GCF of 712,310

Greatest Common Factor (GCF) of 712,310 By Common Division

2 712, 310
356, 155

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 712,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,310 By Matching Biggest Common Factor Method

Now, list down the factors of 712

:

1,2,4,8,89,178,356,712

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 712,310 . The biggest common factor number is the GCF number.
So the greatest common factor 712,310 is 2.

Lets's calculate LCM of 211,545

Lowest Common Multiple of 211,545 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 114995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114995

Therefore, the GCF of Fractions 712/211,310/545 is 2/114995

Least Common Multiple of 211,545 with GCF Formula

Least Common Multiple of 211,545 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 211,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,545) = 1

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

GCF(211,545) x common factors =1 x 1 = 1

LCM(211,545) = ( 211 × 545 ) / 1

LCM(211,545) = 114995 / 1

LCM(211,545) = 114995


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FAQs on GCF of Fractions of 712/211, 310/545

1. What is the HCF of 712,310?

The HCF of 712,310 is 2

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 712/211, 310/545?

Answer: GCF of Numerators as per given numbers 712/211, 310/545 is

GCF of Numerators i.e. for 712,310 is 2

LCM of denominators i.e. for 211,545 is 114995.

Thus, GCF of Fractions is 2/114995.Finally, GCF of Fractions for 712/211, 310/545 is 2/114995.