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GCF of 698/90, 337/5372

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 698/90, 337/5372 i.e 1/241740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/90, 337/5372.

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 698/90,337/5372?

Given fractions are 698/90,337/5372

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 698/90,337/5372, numerators are 698,337

Denominators are 90,5372

The GCF of 698,337 is 1 .

LCM of 90,5372 is 241740.

The greatest common factor of 698/90,337/5372 = [GCF of 698,337]/[LCM of 90,5372]= 1/241740

Therefore, the GCF of 698/90,337/5372 is 1/241740.

Greatest Common Factor of 698,337

To find the highest common factor of 698,337, we have to find the factors of both numbers and list the highest common factor.

The factors of 698 are 1, 2, 349, 698

The factors of 337 are 1, 337

The HCF of 698,337 is 1.

Lets's calculate GCF of 698,337

Greatest Common Factor (GCF) of 698,337 By Common Division

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

Greatest Common Factor of 698,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,337 By Matching Biggest Common Factor Method

Now, list down the factors of 698

:

1,2,349,698

Now, list down the factors of 337

:

1,337

Greatest Common Factor

We found the factors 698,337 . The biggest common factor number is the GCF number.
So the greatest common factor 698,337 is 1.

Lets's calculate LCM of 90,5372

Lowest Common Multiple of 90,5372 using Common Division

2 90, 5372
45, 2686

∴ So the LCM of the given numbers is 2 x 45 x 2686 = 241740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241740

Therefore, the GCF of Fractions 698/90,337/5372 is 1/241740

Least Common Multiple of 90,5372 with GCF Formula

Least Common Multiple of 90,5372 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 90,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,5372) = 2

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

GCF(90,5372) x common factors =2 x 1 = 2

LCM(90,5372) = ( 90 × 5372 ) / 2

LCM(90,5372) = 483480 / 2

LCM(90,5372) = 241740


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FAQs on GCF of Fractions of 698/90, 337/5372

1. What is the HCF of 698,337?

The HCF of 698,337 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 698/90, 337/5372?

Answer: GCF of Numerators as per given numbers 698/90, 337/5372 is

GCF of Numerators i.e. for 698,337 is 1

LCM of denominators i.e. for 90,5372 is 241740.

Thus, GCF of Fractions is 1/241740.Finally, GCF of Fractions for 698/90, 337/5372 is 1/241740.