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GCF of 311/248, 686/698

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 311/248, 686/698 i.e 1/86552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/248, 686/698.

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 311/248,686/698?

Given fractions are 311/248,686/698

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 311/248,686/698, numerators are 311,686

Denominators are 248,698

The GCF of 311,686 is 1 .

LCM of 248,698 is 86552.

The greatest common factor of 311/248,686/698 = [GCF of 311,686]/[LCM of 248,698]= 1/86552

Therefore, the GCF of 311/248,686/698 is 1/86552.

Greatest Common Factor of 311,686

To find the highest common factor of 311,686, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686

The HCF of 311,686 is 1.

Lets's calculate GCF of 311,686

Greatest Common Factor (GCF) of 311,686 By Common Division

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

Greatest Common Factor of 311,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,686 By Matching Biggest Common Factor Method

Now, list down the factors of 311

:

1,311

Now, list down the factors of 686

:

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 311,686 . The biggest common factor number is the GCF number.
So the greatest common factor 311,686 is 1.

Lets's calculate LCM of 248,698

Lowest Common Multiple of 248,698 using Common Division

2 248, 698
124, 349

∴ So the LCM of the given numbers is 2 x 124 x 349 = 86552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86552

Therefore, the GCF of Fractions 311/248,686/698 is 1/86552

Least Common Multiple of 248,698 with GCF Formula

Least Common Multiple of 248,698 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 248,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,698) = 2

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

GCF(248,698) x common factors =2 x 1 = 2

LCM(248,698) = ( 248 × 698 ) / 2

LCM(248,698) = 173104 / 2

LCM(248,698) = 86552


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FAQs on GCF of Fractions of 311/248, 686/698

1. What is the HCF of 311,686?

The HCF of 311,686 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 311/248, 686/698?

Answer: GCF of Numerators as per given numbers 311/248, 686/698 is

GCF of Numerators i.e. for 311,686 is 1

LCM of denominators i.e. for 248,698 is 86552.

Thus, GCF of Fractions is 1/86552.Finally, GCF of Fractions for 311/248, 686/698 is 1/86552.