Greatest Common Factor of 1248/93, 7624/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1248/93, 7624/800

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1248/93,7624/800

Given fractions are 1248/93,7624/800

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1248,7624

Greatest Common Factor of Numerators i.e. GCF of 1248,7624 is 8 .

LCM of Denominators means LCM of 93,800 as per the given fractions.

LCM of 93,800 is 74400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1248,7624

GCF of Fractions 1248/93,7624/800 is 8/74400

2 1248, 7624
2 624, 3812
2 312, 1906
156, 953

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1248,7624 By Matching Biggest Common Factor Method

Greatest Common Factor of 1248,7624 By Matching Biggest Common Factor Method

Factors of 1248

List of positive integer factors of 1248 that divides 1248 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248

Factors of 7624

List of positive integer factors of 7624 that divides 7624 without a remainder.

1,2,4,8,953,1906,3812,7624

Greatest Common Factor

We found the factors 1248,7624 . The biggest common factor number is the GCF number.
So the greatest common factor 1248,7624 is 8.

Lets's calculate LCM of 93,800

Given numbers has no common factors except 1. So, there LCM is their product i.e 74400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/74400

Therefore, the GCF of Fractions 1248/93,7624/800 is 8/74400

Least Common Multiple of 93,800 with GCF Formula

Least Common Multiple of 93,800 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 93,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,800) = 1

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

GCF(93,800) x common factors =1 x 1 = 1

LCM(93,800) = ( 93 × 800 ) / 1

LCM(93,800) = 74400 / 1

LCM(93,800) = 74400


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1248/93, 7624/800

1. 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.

2. What is the GCF of Fractions for 1248/93, 7624/800?

Answer: GCF of Numerators as per given numbers 1248/93, 7624/800 is

GCF of Numerators i.e. for 1248,7624 is 8

LCM of denominators i.e. for 93,800 is 74400.

Thus, GCF of Fractions is 8/74400.Finally, GCF of Fractions for 1248/93, 7624/800 is 8/74400.