Greatest Common Factor of 280/470, 4312/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/470, 4312/967

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 280/470,4312/967

Given fractions are 280/470,4312/967

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 280,4312

Greatest Common Factor of Numerators i.e. GCF of 280,4312 is 56 .

LCM of Denominators means LCM of 470,967 as per the given fractions.

LCM of 470,967 is 454490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,4312

GCF of Fractions 280/470,4312/967 is 56/454490

2 280, 4312
2 140, 2156
2 70, 1078
7 35, 539
5, 77

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 280,4312 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,4312 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312

Greatest Common Factor

We found the factors 280,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 280,4312 is 56.

Lets's calculate LCM of 470,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 454490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/454490

Therefore, the GCF of Fractions 280/470,4312/967 is 56/454490

Least Common Multiple of 470,967 with GCF Formula

Least Common Multiple of 470,967 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 470,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,967) = 1

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

GCF(470,967) x common factors =1 x 1 = 1

LCM(470,967) = ( 470 × 967 ) / 1

LCM(470,967) = 454490 / 1

LCM(470,967) = 454490


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 280/470, 4312/967

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 280/470, 4312/967?

Answer: GCF of Numerators as per given numbers 280/470, 4312/967 is

GCF of Numerators i.e. for 280,4312 is 56

LCM of denominators i.e. for 470,967 is 454490.

Thus, GCF of Fractions is 56/454490.Finally, GCF of Fractions for 280/470, 4312/967 is 56/454490.