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GCF of 5347/210, 9787/6854

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 5347/210, 9787/6854 i.e 1/719670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5347/210, 9787/6854.

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 5347/210,9787/6854?

Given fractions are 5347/210,9787/6854

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 5347/210,9787/6854, numerators are 5347,9787

Denominators are 210,6854

The GCF of 5347,9787 is 1 .

LCM of 210,6854 is 719670.

The greatest common factor of 5347/210,9787/6854 = [GCF of 5347,9787]/[LCM of 210,6854]= 1/719670

Therefore, the GCF of 5347/210,9787/6854 is 1/719670.

Greatest Common Factor of 5347,9787

To find the highest common factor of 5347,9787, we have to find the factors of both numbers and list the highest common factor.

The factors of 5347 are 1, 5347

The factors of 9787 are 1, 9787

The HCF of 5347,9787 is 1.

Lets's calculate GCF of 5347,9787

Greatest Common Factor (GCF) of 5347,9787 By Common Division

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

Greatest Common Factor of 5347,9787 By Matching Biggest Common Factor Method

Greatest Common Factor of 5347,9787 By Matching Biggest Common Factor Method

Now, list down the factors of 5347

:

1,5347

Now, list down the factors of 9787

:

1,9787

Greatest Common Factor

We found the factors 5347,9787 . The biggest common factor number is the GCF number.
So the greatest common factor 5347,9787 is 1.

Lets's calculate LCM of 210,6854

Lowest Common Multiple of 210,6854 using Common Division

2 210, 6854
105, 3427

∴ So the LCM of the given numbers is 2 x 105 x 3427 = 719670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/719670

Therefore, the GCF of Fractions 5347/210,9787/6854 is 1/719670

Least Common Multiple of 210,6854 with GCF Formula

Least Common Multiple of 210,6854 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 210,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,6854) = 2

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

GCF(210,6854) x common factors =2 x 1 = 2

LCM(210,6854) = ( 210 × 6854 ) / 2

LCM(210,6854) = 1439340 / 2

LCM(210,6854) = 719670


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FAQs on GCF of Fractions of 5347/210, 9787/6854

1. What is the HCF of 5347,9787?

The HCF of 5347,9787 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 5347/210, 9787/6854?

Answer: GCF of Numerators as per given numbers 5347/210, 9787/6854 is

GCF of Numerators i.e. for 5347,9787 is 1

LCM of denominators i.e. for 210,6854 is 719670.

Thus, GCF of Fractions is 1/719670.Finally, GCF of Fractions for 5347/210, 9787/6854 is 1/719670.