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GCF of 711/69, 627/686

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 711/69, 627/686 i.e 3/47334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/69, 627/686.

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 711/69,627/686?

Given fractions are 711/69,627/686

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 711/69,627/686, numerators are 711,627

Denominators are 69,686

The GCF of 711,627 is 3 .

LCM of 69,686 is 47334.

The greatest common factor of 711/69,627/686 = [GCF of 711,627]/[LCM of 69,686]= 3/47334

Therefore, the GCF of 711/69,627/686 is 3/47334.

Greatest Common Factor of 711,627

To find the highest common factor of 711,627, we have to find the factors of both numbers and list the highest common factor.

The factors of 711 are 1, 3, 9, 79, 237, 711

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 711,627 is 3.

Lets's calculate GCF of 711,627

Greatest Common Factor (GCF) of 711,627 By Common Division

3 711, 627
237, 209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 711,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,627 By Matching Biggest Common Factor Method

Now, list down the factors of 711

:

1,3,9,79,237,711

Now, list down the factors of 627

:

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 711,627 . The biggest common factor number is the GCF number.
So the greatest common factor 711,627 is 3.

Lets's calculate LCM of 69,686

Lowest Common Multiple of 69,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47334

Therefore, the GCF of Fractions 711/69,627/686 is 3/47334

Least Common Multiple of 69,686 with GCF Formula

Least Common Multiple of 69,686 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 69,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,686) = 1

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

GCF(69,686) x common factors =1 x 1 = 1

LCM(69,686) = ( 69 × 686 ) / 1

LCM(69,686) = 47334 / 1

LCM(69,686) = 47334


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FAQs on GCF of Fractions of 711/69, 627/686

1. What is the HCF of 711,627?

The HCF of 711,627 is 3

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 711/69, 627/686?

Answer: GCF of Numerators as per given numbers 711/69, 627/686 is

GCF of Numerators i.e. for 711,627 is 3

LCM of denominators i.e. for 69,686 is 47334.

Thus, GCF of Fractions is 3/47334.Finally, GCF of Fractions for 711/69, 627/686 is 3/47334.