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GCF of 670/893, 310/786

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 670/893, 310/786 i.e 10/701898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 670/893, 310/786.

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 670/893,310/786?

Given fractions are 670/893,310/786

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 670/893,310/786, numerators are 670,310

Denominators are 893,786

The GCF of 670,310 is 10 .

LCM of 893,786 is 701898.

The greatest common factor of 670/893,310/786 = [GCF of 670,310]/[LCM of 893,786]= 10/701898

Therefore, the GCF of 670/893,310/786 is 10/701898.

Greatest Common Factor of 670,310

To find the highest common factor of 670,310, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 670,310 is 10.

Lets's calculate GCF of 670,310

Greatest Common Factor (GCF) of 670,310 By Common Division

2 670, 310
5 335, 155
67, 31

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 670,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,310 By Matching Biggest Common Factor Method

Now, list down the factors of 670

:

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

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 670,310 . The biggest common factor number is the GCF number.
So the greatest common factor 670,310 is 10.

Lets's calculate LCM of 893,786

Lowest Common Multiple of 893,786 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 701898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/701898

Therefore, the GCF of Fractions 670/893,310/786 is 10/701898

Least Common Multiple of 893,786 with GCF Formula

Least Common Multiple of 893,786 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 893,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,786) = 1

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

GCF(893,786) x common factors =1 x 1 = 1

LCM(893,786) = ( 893 × 786 ) / 1

LCM(893,786) = 701898 / 1

LCM(893,786) = 701898


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FAQs on GCF of Fractions of 670/893, 310/786

1. What is the HCF of 670,310?

The HCF of 670,310 is 10

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 670/893, 310/786?

Answer: GCF of Numerators as per given numbers 670/893, 310/786 is

GCF of Numerators i.e. for 670,310 is 10

LCM of denominators i.e. for 893,786 is 701898.

Thus, GCF of Fractions is 10/701898.Finally, GCF of Fractions for 670/893, 310/786 is 10/701898.