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GCF of 920/166, 6473/698

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 920/166, 6473/698 i.e 1/57934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/166, 6473/698.

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 920/166,6473/698?

Given fractions are 920/166,6473/698

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 920/166,6473/698, numerators are 920,6473

Denominators are 166,698

The GCF of 920,6473 is 1 .

LCM of 166,698 is 57934.

The greatest common factor of 920/166,6473/698 = [GCF of 920,6473]/[LCM of 166,698]= 1/57934

Therefore, the GCF of 920/166,6473/698 is 1/57934.

Greatest Common Factor of 920,6473

To find the highest common factor of 920,6473, we have to find the factors of both numbers and list the highest common factor.

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The factors of 6473 are 1, 6473

The HCF of 920,6473 is 1.

Lets's calculate GCF of 920,6473

Greatest Common Factor (GCF) of 920,6473 By Common Division

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

Greatest Common Factor of 920,6473 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,6473 By Matching Biggest Common Factor Method

Now, list down the factors of 920

:

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Now, list down the factors of 6473

:

1,6473

Greatest Common Factor

We found the factors 920,6473 . The biggest common factor number is the GCF number.
So the greatest common factor 920,6473 is 1.

Lets's calculate LCM of 166,698

Lowest Common Multiple of 166,698 using Common Division

2 166, 698
83, 349

∴ So the LCM of the given numbers is 2 x 83 x 349 = 57934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57934

Therefore, the GCF of Fractions 920/166,6473/698 is 1/57934

Least Common Multiple of 166,698 with GCF Formula

Least Common Multiple of 166,698 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 166,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,698) = 2

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

GCF(166,698) x common factors =2 x 1 = 2

LCM(166,698) = ( 166 × 698 ) / 2

LCM(166,698) = 115868 / 2

LCM(166,698) = 57934


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FAQs on GCF of Fractions of 920/166, 6473/698

1. What is the HCF of 920,6473?

The HCF of 920,6473 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 920/166, 6473/698?

Answer: GCF of Numerators as per given numbers 920/166, 6473/698 is

GCF of Numerators i.e. for 920,6473 is 1

LCM of denominators i.e. for 166,698 is 57934.

Thus, GCF of Fractions is 1/57934.Finally, GCF of Fractions for 920/166, 6473/698 is 1/57934.