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GCF of 248/916, 8699/300

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 248/916, 8699/300 i.e 1/68700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/916, 8699/300.

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 248/916,8699/300?

Given fractions are 248/916,8699/300

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 248/916,8699/300, numerators are 248,8699

Denominators are 916,300

The GCF of 248,8699 is 1 .

LCM of 916,300 is 68700.

The greatest common factor of 248/916,8699/300 = [GCF of 248,8699]/[LCM of 916,300]= 1/68700

Therefore, the GCF of 248/916,8699/300 is 1/68700.

Greatest Common Factor of 248,8699

To find the highest common factor of 248,8699, we have to find the factors of both numbers and list the highest common factor.

The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248

The factors of 8699 are 1, 8699

The HCF of 248,8699 is 1.

Lets's calculate GCF of 248,8699

Greatest Common Factor (GCF) of 248,8699 By Common Division

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

Greatest Common Factor of 248,8699 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,8699 By Matching Biggest Common Factor Method

Now, list down the factors of 248

:

1,2,4,8,31,62,124,248

Now, list down the factors of 8699

:

1,8699

Greatest Common Factor

We found the factors 248,8699 . The biggest common factor number is the GCF number.
So the greatest common factor 248,8699 is 1.

Lets's calculate LCM of 916,300

Lowest Common Multiple of 916,300 using Common Division

2 916, 300
2 458, 150
229, 75

∴ So the LCM of the given numbers is 2 x 2 x 229 x 75 = 68700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68700

Therefore, the GCF of Fractions 248/916,8699/300 is 1/68700

Least Common Multiple of 916,300 with GCF Formula

Least Common Multiple of 916,300 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 916,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,300) = 4

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

GCF(916,300) x common factors =4 x 1 = 4

LCM(916,300) = ( 916 × 300 ) / 4

LCM(916,300) = 274800 / 4

LCM(916,300) = 68700


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FAQs on GCF of Fractions of 248/916, 8699/300

1. What is the HCF of 248,8699?

The HCF of 248,8699 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 248/916, 8699/300?

Answer: GCF of Numerators as per given numbers 248/916, 8699/300 is

GCF of Numerators i.e. for 248,8699 is 1

LCM of denominators i.e. for 916,300 is 68700.

Thus, GCF of Fractions is 1/68700.Finally, GCF of Fractions for 248/916, 8699/300 is 1/68700.