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GCF of 853/304, 711/628

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 853/304, 711/628 i.e 1/47728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/304, 711/628.

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 853/304,711/628?

Given fractions are 853/304,711/628

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 853/304,711/628, numerators are 853,711

Denominators are 304,628

The GCF of 853,711 is 1 .

LCM of 304,628 is 47728.

The greatest common factor of 853/304,711/628 = [GCF of 853,711]/[LCM of 304,628]= 1/47728

Therefore, the GCF of 853/304,711/628 is 1/47728.

Greatest Common Factor of 853,711

To find the highest common factor of 853,711, we have to find the factors of both numbers and list the highest common factor.

The factors of 853 are 1, 853

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

The HCF of 853,711 is 1.

Lets's calculate GCF of 853,711

Greatest Common Factor (GCF) of 853,711 By Common Division

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

Greatest Common Factor of 853,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,711 By Matching Biggest Common Factor Method

Now, list down the factors of 853

:

1,853

Now, list down the factors of 711

:

1,3,9,79,237,711

Greatest Common Factor

We found the factors 853,711 . The biggest common factor number is the GCF number.
So the greatest common factor 853,711 is 1.

Lets's calculate LCM of 304,628

Lowest Common Multiple of 304,628 using Common Division

2 304, 628
2 152, 314
76, 157

∴ So the LCM of the given numbers is 2 x 2 x 76 x 157 = 47728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47728

Therefore, the GCF of Fractions 853/304,711/628 is 1/47728

Least Common Multiple of 304,628 with GCF Formula

Least Common Multiple of 304,628 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 304,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,628) = 4

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

GCF(304,628) x common factors =4 x 1 = 4

LCM(304,628) = ( 304 × 628 ) / 4

LCM(304,628) = 190912 / 4

LCM(304,628) = 47728


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FAQs on GCF of Fractions of 853/304, 711/628

1. What is the HCF of 853,711?

The HCF of 853,711 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 853/304, 711/628?

Answer: GCF of Numerators as per given numbers 853/304, 711/628 is

GCF of Numerators i.e. for 853,711 is 1

LCM of denominators i.e. for 304,628 is 47728.

Thus, GCF of Fractions is 1/47728.Finally, GCF of Fractions for 853/304, 711/628 is 1/47728.