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GCF of 298/92, 667/640

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 298/92, 667/640 i.e 1/14720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/92, 667/640.

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 298/92,667/640?

Given fractions are 298/92,667/640

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 298/92,667/640, numerators are 298,667

Denominators are 92,640

The GCF of 298,667 is 1 .

LCM of 92,640 is 14720.

The greatest common factor of 298/92,667/640 = [GCF of 298,667]/[LCM of 92,640]= 1/14720

Therefore, the GCF of 298/92,667/640 is 1/14720.

Greatest Common Factor of 298,667

To find the highest common factor of 298,667, we have to find the factors of both numbers and list the highest common factor.

The factors of 298 are 1, 2, 149, 298

The factors of 667 are 1, 23, 29, 667

The HCF of 298,667 is 1.

Lets's calculate GCF of 298,667

Greatest Common Factor (GCF) of 298,667 By Common Division

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

Greatest Common Factor of 298,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,667 By Matching Biggest Common Factor Method

Now, list down the factors of 298

:

1,2,149,298

Now, list down the factors of 667

:

1,23,29,667

Greatest Common Factor

We found the factors 298,667 . The biggest common factor number is the GCF number.
So the greatest common factor 298,667 is 1.

Lets's calculate LCM of 92,640

Lowest Common Multiple of 92,640 using Common Division

2 92, 640
2 46, 320
23, 160

∴ So the LCM of the given numbers is 2 x 2 x 23 x 160 = 14720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14720

Therefore, the GCF of Fractions 298/92,667/640 is 1/14720

Least Common Multiple of 92,640 with GCF Formula

Least Common Multiple of 92,640 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 92,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,640) = 4

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

GCF(92,640) x common factors =4 x 1 = 4

LCM(92,640) = ( 92 × 640 ) / 4

LCM(92,640) = 58880 / 4

LCM(92,640) = 14720


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FAQs on GCF of Fractions of 298/92, 667/640

1. What is the HCF of 298,667?

The HCF of 298,667 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 298/92, 667/640?

Answer: GCF of Numerators as per given numbers 298/92, 667/640 is

GCF of Numerators i.e. for 298,667 is 1

LCM of denominators i.e. for 92,640 is 14720.

Thus, GCF of Fractions is 1/14720.Finally, GCF of Fractions for 298/92, 667/640 is 1/14720.