Greatest Common Factor of 1228/417, 7029/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1228/417, 7029/236

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 1228/417,7029/236

Given fractions are 1228/417,7029/236

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 1228,7029

Greatest Common Factor of Numerators i.e. GCF of 1228,7029 is 1 .

LCM of Denominators means LCM of 417,236 as per the given fractions.

LCM of 417,236 is 98412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1228,7029

GCF of Fractions 1228/417,7029/236 is 1/98412

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

Greatest Common Factor of 1228,7029 By Matching Biggest Common Factor Method

Greatest Common Factor of 1228,7029 By Matching Biggest Common Factor Method

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1,3,9,11,33,71,99,213,639,781,2343,7029

Greatest Common Factor

We found the factors 1228,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 1228,7029 is 1.

Lets's calculate LCM of 417,236

Given numbers has no common factors except 1. So, there LCM is their product i.e 98412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98412

Therefore, the GCF of Fractions 1228/417,7029/236 is 1/98412

Least Common Multiple of 417,236 with GCF Formula

Least Common Multiple of 417,236 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 417,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,236) = 1

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

GCF(417,236) x common factors =1 x 1 = 1

LCM(417,236) = ( 417 × 236 ) / 1

LCM(417,236) = 98412 / 1

LCM(417,236) = 98412


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 1228/417, 7029/236

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 1228/417, 7029/236?

Answer: GCF of Numerators as per given numbers 1228/417, 7029/236 is

GCF of Numerators i.e. for 1228,7029 is 1

LCM of denominators i.e. for 417,236 is 98412.

Thus, GCF of Fractions is 1/98412.Finally, GCF of Fractions for 1228/417, 7029/236 is 1/98412.