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GCF of 4734/710, 1177/864

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 4734/710, 1177/864 i.e 1/306720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4734/710, 1177/864.

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 4734/710,1177/864?

Given fractions are 4734/710,1177/864

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 4734/710,1177/864, numerators are 4734,1177

Denominators are 710,864

The GCF of 4734,1177 is 1 .

LCM of 710,864 is 306720.

The greatest common factor of 4734/710,1177/864 = [GCF of 4734,1177]/[LCM of 710,864]= 1/306720

Therefore, the GCF of 4734/710,1177/864 is 1/306720.

Greatest Common Factor of 4734,1177

To find the highest common factor of 4734,1177, we have to find the factors of both numbers and list the highest common factor.

The factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734

The factors of 1177 are 1, 11, 107, 1177

The HCF of 4734,1177 is 1.

Lets's calculate GCF of 4734,1177

Greatest Common Factor (GCF) of 4734,1177 By Common Division

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

Greatest Common Factor of 4734,1177 By Matching Biggest Common Factor Method

Greatest Common Factor of 4734,1177 By Matching Biggest Common Factor Method

Now, list down the factors of 4734

:

1,2,3,6,9,18,263,526,789,1578,2367,4734

Now, list down the factors of 1177

:

1,11,107,1177

Greatest Common Factor

We found the factors 4734,1177 . The biggest common factor number is the GCF number.
So the greatest common factor 4734,1177 is 1.


Lets's calculate LCM of 710,864

Lowest Common Multiple of 710,864 using Common Division

2 710, 864
355, 432

∴ So the LCM of the given numbers is 2 x 355 x 432 = 306720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306720

Therefore, the GCF of Fractions 4734/710,1177/864 is 1/306720

Least Common Multiple of 710,864 with GCF Formula

Least Common Multiple of 710,864 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 710,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,864) = 2

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

GCF(710,864) x common factors =2 x 1 = 2

LCM(710,864) = ( 710 × 864 ) / 2

LCM(710,864) = 613440 / 2

LCM(710,864) = 306720


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4734/710, 1177/864

1. What is the HCF of 4734,1177?

The HCF of 4734,1177 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 4734/710, 1177/864?

Answer: GCF of Numerators as per given numbers 4734/710, 1177/864 is

GCF of Numerators i.e. for 4734,1177 is 1

LCM of denominators i.e. for 710,864 is 306720.

Thus, GCF of Fractions is 1/306720.Finally, GCF of Fractions for 4734/710, 1177/864 is 1/306720.