Greatest Common Factor of 8400/14, 6275/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8400/14, 6275/388

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 8400/14,6275/388

Given fractions are 8400/14,6275/388

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 8400,6275

Greatest Common Factor of Numerators i.e. GCF of 8400,6275 is 25 .

LCM of Denominators means LCM of 14,388 as per the given fractions.

LCM of 14,388 is 2716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8400,6275

GCF of Fractions 8400/14,6275/388 is 25/2716

5 8400, 6275
5 1680, 1255
336, 251

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 8400,6275 By Matching Biggest Common Factor Method

Greatest Common Factor of 8400,6275 By Matching Biggest Common Factor Method

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1,5,25,251,1255,6275

Greatest Common Factor

We found the factors 8400,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 8400,6275 is 25.

Lets's calculate LCM of 14,388

2 14, 388
7, 194

∴ So the LCM of the given numbers is 2 x 7 x 194 = 2716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2716

Therefore, the GCF of Fractions 8400/14,6275/388 is 25/2716

Least Common Multiple of 14,388 with GCF Formula

Least Common Multiple of 14,388 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 14,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,388) = 2

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

GCF(14,388) x common factors =2 x 1 = 2

LCM(14,388) = ( 14 × 388 ) / 2

LCM(14,388) = 5432 / 2

LCM(14,388) = 2716


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 8400/14, 6275/388

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 8400/14, 6275/388?

Answer: GCF of Numerators as per given numbers 8400/14, 6275/388 is

GCF of Numerators i.e. for 8400,6275 is 25

LCM of denominators i.e. for 14,388 is 2716.

Thus, GCF of Fractions is 25/2716.Finally, GCF of Fractions for 8400/14, 6275/388 is 25/2716.