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GCF of 359/997, 358/918

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 359/997, 358/918 i.e 1/915246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/997, 358/918.

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 359/997,358/918?

Given fractions are 359/997,358/918

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 359/997,358/918, numerators are 359,358

Denominators are 997,918

The GCF of 359,358 is 1 .

LCM of 997,918 is 915246.

The greatest common factor of 359/997,358/918 = [GCF of 359,358]/[LCM of 997,918]= 1/915246

Therefore, the GCF of 359/997,358/918 is 1/915246.

Greatest Common Factor of 359,358

To find the highest common factor of 359,358, we have to find the factors of both numbers and list the highest common factor.

The factors of 359 are 1, 359

The factors of 358 are 1, 2, 179, 358

The HCF of 359,358 is 1.

Lets's calculate GCF of 359,358

Greatest Common Factor (GCF) of 359,358 By Common Division

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

Greatest Common Factor of 359,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,358 By Matching Biggest Common Factor Method

Now, list down the factors of 359

:

1,359

Now, list down the factors of 358

:

1,2,179,358

Greatest Common Factor

We found the factors 359,358 . The biggest common factor number is the GCF number.
So the greatest common factor 359,358 is 1.

Lets's calculate LCM of 997,918

Lowest Common Multiple of 997,918 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 915246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915246

Therefore, the GCF of Fractions 359/997,358/918 is 1/915246

Least Common Multiple of 997,918 with GCF Formula

Least Common Multiple of 997,918 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 997,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,918) = 1

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

GCF(997,918) x common factors =1 x 1 = 1

LCM(997,918) = ( 997 × 918 ) / 1

LCM(997,918) = 915246 / 1

LCM(997,918) = 915246


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FAQs on GCF of Fractions of 359/997, 358/918

1. What is the HCF of 359,358?

The HCF of 359,358 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 359/997, 358/918?

Answer: GCF of Numerators as per given numbers 359/997, 358/918 is

GCF of Numerators i.e. for 359,358 is 1

LCM of denominators i.e. for 997,918 is 915246.

Thus, GCF of Fractions is 1/915246.Finally, GCF of Fractions for 359/997, 358/918 is 1/915246.