Greatest Common Factor of 808/224, 6767/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/224, 6767/620

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 808/224,6767/620

Given fractions are 808/224,6767/620

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 808,6767

Greatest Common Factor of Numerators i.e. GCF of 808,6767 is 101 .

LCM of Denominators means LCM of 224,620 as per the given fractions.

LCM of 224,620 is 34720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,6767

GCF of Fractions 808/224,6767/620 is 101/34720

101 808, 6767
8, 67

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 808,6767 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,6767 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 6767

List of positive integer factors of 6767 that divides 6767 without a remainder.

1,67,101,6767

Greatest Common Factor

We found the factors 808,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 808,6767 is 101.

Lets's calculate LCM of 224,620

2 224, 620
2 112, 310
56, 155

∴ So the LCM of the given numbers is 2 x 2 x 56 x 155 = 34720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/34720

Therefore, the GCF of Fractions 808/224,6767/620 is 101/34720

Least Common Multiple of 224,620 with GCF Formula

Least Common Multiple of 224,620 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 224,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,620) = 4

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

GCF(224,620) x common factors =4 x 1 = 4

LCM(224,620) = ( 224 × 620 ) / 4

LCM(224,620) = 138880 / 4

LCM(224,620) = 34720


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 808/224, 6767/620

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 808/224, 6767/620?

Answer: GCF of Numerators as per given numbers 808/224, 6767/620 is

GCF of Numerators i.e. for 808,6767 is 101

LCM of denominators i.e. for 224,620 is 34720.

Thus, GCF of Fractions is 101/34720.Finally, GCF of Fractions for 808/224, 6767/620 is 101/34720.