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GCF of 711/772, 4215/384

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 711/772, 4215/384 i.e 3/74112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/772, 4215/384.

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 711/772,4215/384?

Given fractions are 711/772,4215/384

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 711/772,4215/384, numerators are 711,4215

Denominators are 772,384

The GCF of 711,4215 is 3 .

LCM of 772,384 is 74112.

The greatest common factor of 711/772,4215/384 = [GCF of 711,4215]/[LCM of 772,384]= 3/74112

Therefore, the GCF of 711/772,4215/384 is 3/74112.

Greatest Common Factor of 711,4215

To find the highest common factor of 711,4215, 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 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215

The HCF of 711,4215 is 3.

Lets's calculate GCF of 711,4215

Greatest Common Factor (GCF) of 711,4215 By Common Division

3 711, 4215
237, 1405

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

Greatest Common Factor of 711,4215 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,4215 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 4215

:

1,3,5,15,281,843,1405,4215

Greatest Common Factor

We found the factors 711,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 711,4215 is 3.

Lets's calculate LCM of 772,384

Lowest Common Multiple of 772,384 using Common Division

2 772, 384
2 386, 192
193, 96

∴ So the LCM of the given numbers is 2 x 2 x 193 x 96 = 74112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74112

Therefore, the GCF of Fractions 711/772,4215/384 is 3/74112

Least Common Multiple of 772,384 with GCF Formula

Least Common Multiple of 772,384 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 772,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,384) = 4

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

GCF(772,384) x common factors =4 x 1 = 4

LCM(772,384) = ( 772 × 384 ) / 4

LCM(772,384) = 296448 / 4

LCM(772,384) = 74112


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FAQs on GCF of Fractions of 711/772, 4215/384

1. What is the HCF of 711,4215?

The HCF of 711,4215 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 711/772, 4215/384?

Answer: GCF of Numerators as per given numbers 711/772, 4215/384 is

GCF of Numerators i.e. for 711,4215 is 3

LCM of denominators i.e. for 772,384 is 74112.

Thus, GCF of Fractions is 3/74112.Finally, GCF of Fractions for 711/772, 4215/384 is 3/74112.