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GCF of 213/85, 670/779

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 213/85, 670/779 i.e 1/66215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 213/85, 670/779.

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 213/85,670/779?

Given fractions are 213/85,670/779

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 213/85,670/779, numerators are 213,670

Denominators are 85,779

The GCF of 213,670 is 1 .

LCM of 85,779 is 66215.

The greatest common factor of 213/85,670/779 = [GCF of 213,670]/[LCM of 85,779]= 1/66215

Therefore, the GCF of 213/85,670/779 is 1/66215.

Greatest Common Factor of 213,670

To find the highest common factor of 213,670, we have to find the factors of both numbers and list the highest common factor.

The factors of 213 are 1, 3, 71, 213

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

The HCF of 213,670 is 1.

Lets's calculate GCF of 213,670

Greatest Common Factor (GCF) of 213,670 By Common Division

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

Greatest Common Factor of 213,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,670 By Matching Biggest Common Factor Method

Now, list down the factors of 213

:

1,3,71,213

Now, list down the factors of 670

:

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 213,670 . The biggest common factor number is the GCF number.
So the greatest common factor 213,670 is 1.

Lets's calculate LCM of 85,779

Lowest Common Multiple of 85,779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 66215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66215

Therefore, the GCF of Fractions 213/85,670/779 is 1/66215

Least Common Multiple of 85,779 with GCF Formula

Least Common Multiple of 85,779 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 85,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,779) = 1

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

GCF(85,779) x common factors =1 x 1 = 1

LCM(85,779) = ( 85 × 779 ) / 1

LCM(85,779) = 66215 / 1

LCM(85,779) = 66215


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FAQs on GCF of Fractions of 213/85, 670/779

1. What is the HCF of 213,670?

The HCF of 213,670 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 213/85, 670/779?

Answer: GCF of Numerators as per given numbers 213/85, 670/779 is

GCF of Numerators i.e. for 213,670 is 1

LCM of denominators i.e. for 85,779 is 66215.

Thus, GCF of Fractions is 1/66215.Finally, GCF of Fractions for 213/85, 670/779 is 1/66215.