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GCF of 311/210, 4799/980

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 311/210, 4799/980 i.e 1/2940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/210, 4799/980.

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 311/210,4799/980?

Given fractions are 311/210,4799/980

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 311/210,4799/980, numerators are 311,4799

Denominators are 210,980

The GCF of 311,4799 is 1 .

LCM of 210,980 is 2940.

The greatest common factor of 311/210,4799/980 = [GCF of 311,4799]/[LCM of 210,980]= 1/2940

Therefore, the GCF of 311/210,4799/980 is 1/2940.

Greatest Common Factor of 311,4799

To find the highest common factor of 311,4799, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 4799 are 1, 4799

The HCF of 311,4799 is 1.

Lets's calculate GCF of 311,4799

Greatest Common Factor (GCF) of 311,4799 By Common Division

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

Greatest Common Factor of 311,4799 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,4799 By Matching Biggest Common Factor Method

Now, list down the factors of 311

:

1,311

Now, list down the factors of 4799

:

1,4799

Greatest Common Factor

We found the factors 311,4799 . The biggest common factor number is the GCF number.
So the greatest common factor 311,4799 is 1.

Lets's calculate LCM of 210,980

Lowest Common Multiple of 210,980 using Common Division

2 210, 980
5 105, 490
7 21, 98
3, 14

∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 14 = 2940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2940

Therefore, the GCF of Fractions 311/210,4799/980 is 1/2940

Least Common Multiple of 210,980 with GCF Formula

Least Common Multiple of 210,980 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 210,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,980) = 70

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

GCF(210,980) x common factors =70 x 1 = 70

LCM(210,980) = ( 210 × 980 ) / 70

LCM(210,980) = 205800 / 70

LCM(210,980) = 2940


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FAQs on GCF of Fractions of 311/210, 4799/980

1. What is the HCF of 311,4799?

The HCF of 311,4799 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 311/210, 4799/980?

Answer: GCF of Numerators as per given numbers 311/210, 4799/980 is

GCF of Numerators i.e. for 311,4799 is 1

LCM of denominators i.e. for 210,980 is 2940.

Thus, GCF of Fractions is 1/2940.Finally, GCF of Fractions for 311/210, 4799/980 is 1/2940.