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GCF of 353/310, 9727/920

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 353/310, 9727/920 i.e 1/28520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/310, 9727/920.

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 353/310,9727/920?

Given fractions are 353/310,9727/920

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 353/310,9727/920, numerators are 353,9727

Denominators are 310,920

The GCF of 353,9727 is 1 .

LCM of 310,920 is 28520.

The greatest common factor of 353/310,9727/920 = [GCF of 353,9727]/[LCM of 310,920]= 1/28520

Therefore, the GCF of 353/310,9727/920 is 1/28520.

Greatest Common Factor of 353,9727

To find the highest common factor of 353,9727, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

The factors of 9727 are 1, 71, 137, 9727

The HCF of 353,9727 is 1.

Lets's calculate GCF of 353,9727

Greatest Common Factor (GCF) of 353,9727 By Common Division

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

Greatest Common Factor of 353,9727 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,9727 By Matching Biggest Common Factor Method

Now, list down the factors of 353

:

1,353

Now, list down the factors of 9727

:

1,71,137,9727

Greatest Common Factor

We found the factors 353,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 353,9727 is 1.

Lets's calculate LCM of 310,920

Lowest Common Multiple of 310,920 using Common Division

2 310, 920
5 155, 460
31, 92

∴ So the LCM of the given numbers is 2 x 5 x 31 x 92 = 28520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28520

Therefore, the GCF of Fractions 353/310,9727/920 is 1/28520

Least Common Multiple of 310,920 with GCF Formula

Least Common Multiple of 310,920 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 310,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,920) = 10

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

GCF(310,920) x common factors =10 x 1 = 10

LCM(310,920) = ( 310 × 920 ) / 10

LCM(310,920) = 285200 / 10

LCM(310,920) = 28520


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FAQs on GCF of Fractions of 353/310, 9727/920

1. What is the HCF of 353,9727?

The HCF of 353,9727 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 353/310, 9727/920?

Answer: GCF of Numerators as per given numbers 353/310, 9727/920 is

GCF of Numerators i.e. for 353,9727 is 1

LCM of denominators i.e. for 310,920 is 28520.

Thus, GCF of Fractions is 1/28520.Finally, GCF of Fractions for 353/310, 9727/920 is 1/28520.