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GCF of 245/298, 992/416

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 245/298, 992/416 i.e 1/61984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/298, 992/416.

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 245/298,992/416?

Given fractions are 245/298,992/416

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 245/298,992/416, numerators are 245,992

Denominators are 298,416

The GCF of 245,992 is 1 .

LCM of 298,416 is 61984.

The greatest common factor of 245/298,992/416 = [GCF of 245,992]/[LCM of 298,416]= 1/61984

Therefore, the GCF of 245/298,992/416 is 1/61984.

Greatest Common Factor of 245,992

To find the highest common factor of 245,992, we have to find the factors of both numbers and list the highest common factor.

The factors of 245 are 1, 5, 7, 35, 49, 245

The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

The HCF of 245,992 is 1.

Lets's calculate GCF of 245,992

Greatest Common Factor (GCF) of 245,992 By Common Division

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

Greatest Common Factor of 245,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,992 By Matching Biggest Common Factor Method

Now, list down the factors of 245

:

1,5,7,35,49,245

Now, list down the factors of 992

:

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 245,992 . The biggest common factor number is the GCF number.
So the greatest common factor 245,992 is 1.

Lets's calculate LCM of 298,416

Lowest Common Multiple of 298,416 using Common Division

2 298, 416
149, 208

∴ So the LCM of the given numbers is 2 x 149 x 208 = 61984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61984

Therefore, the GCF of Fractions 245/298,992/416 is 1/61984

Least Common Multiple of 298,416 with GCF Formula

Least Common Multiple of 298,416 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 298,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,416) = 2

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

GCF(298,416) x common factors =2 x 1 = 2

LCM(298,416) = ( 298 × 416 ) / 2

LCM(298,416) = 123968 / 2

LCM(298,416) = 61984


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FAQs on GCF of Fractions of 245/298, 992/416

1. What is the HCF of 245,992?

The HCF of 245,992 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 245/298, 992/416?

Answer: GCF of Numerators as per given numbers 245/298, 992/416 is

GCF of Numerators i.e. for 245,992 is 1

LCM of denominators i.e. for 298,416 is 61984.

Thus, GCF of Fractions is 1/61984.Finally, GCF of Fractions for 245/298, 992/416 is 1/61984.