How to Find GCF of 1267/237, 6868/9742?

GCF of 1267/237, 6868/9742

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1267/237, 6868/9742 i.e 1/2308854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1267/237, 6868/9742.

Enter two or more fractions separated by "commas"

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

What is the GCF of 1267/237,6868/9742?

Given fractions are 1267/237,6868/9742

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1267/237,6868/9742, numerators are 1267,6868

Denominators are 237,9742

The GCF of 1267,6868 is 1 .

LCM of 237,9742 is 2308854.

The greatest common factor of 1267/237,6868/9742 = [GCF of 1267,6868]/[LCM of 237,9742]= 1/2308854

Therefore, the GCF of 1267/237,6868/9742 is 1/2308854.

Greatest Common Factor of 1267,6868

To find the highest common factor of 1267,6868, we have to find the factors of both numbers and list the highest common factor.

The factors of 1267 are 1, 7, 181, 1267

The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868

The HCF of 1267,6868 is 1.

Lets's calculate GCF of 1267,6868

Greatest Common Factor (GCF) of 1267,6868 By Common Division

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

Greatest Common Factor of 1267,6868 By Matching Biggest Common Factor Method

Now, list down the factors of 1267

1,7,181,1267

Now, list down the factors of 6868

1,2,4,17,34,68,101,202,404,1717,3434,6868

Greatest Common Factor

We found the factors 1267,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 1267,6868 is 1.

Lets's calculate LCM of 237,9742

Lowest Common Multiple of 237,9742 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2308854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2308854

Therefore, the GCF of Fractions 1267/237,6868/9742 is 1/2308854

Least Common Multiple of 237,9742 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 237,9742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,9742) = 1

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

GCF(237,9742) x common factors =1 x 1 = 1

LCM(237,9742) = ( 237 × 9742 ) / 1

LCM(237,9742) = 2308854 / 1

LCM(237,9742) = 2308854

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FAQs on GCF of Fractions of 1267/237, 6868/9742

1. What is the HCF of 1267,6868?

The HCF of 1267,6868 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1267/237, 6868/9742?

Answer: GCF of Numerators as per given numbers 1267/237, 6868/9742 is

GCF of Numerators i.e. for 1267,6868 is 1

LCM of denominators i.e. for 237,9742 is 2308854.

Thus, GCF of Fractions is 1/2308854.Finally, GCF of Fractions for 1267/237, 6868/9742 is 1/2308854.