LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 267/10, 262/754

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 267/10, 262/754 i.e 1/3770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/10, 262/754.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 267/10,262/754?

Given fractions are 267/10,262/754

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 267/10,262/754, numerators are 267,262

Denominators are 10,754

The GCF of 267,262 is 1 .

LCM of 10,754 is 3770.

The greatest common factor of 267/10,262/754 = [GCF of 267,262]/[LCM of 10,754]= 1/3770

Therefore, the GCF of 267/10,262/754 is 1/3770.

Greatest Common Factor of 267,262

To find the highest common factor of 267,262, we have to find the factors of both numbers and list the highest common factor.

The factors of 267 are 1, 3, 89, 267

The factors of 262 are 1, 2, 131, 262

The HCF of 267,262 is 1.

Lets's calculate GCF of 267,262

Greatest Common Factor (GCF) of 267,262 By Common Division

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

Greatest Common Factor of 267,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,262 By Matching Biggest Common Factor Method

Now, list down the factors of 267

:

1,3,89,267

Now, list down the factors of 262

:

1,2,131,262

Greatest Common Factor

We found the factors 267,262 . The biggest common factor number is the GCF number.
So the greatest common factor 267,262 is 1.

Lets's calculate LCM of 10,754

Lowest Common Multiple of 10,754 using Common Division

2 10, 754
5, 377

∴ So the LCM of the given numbers is 2 x 5 x 377 = 3770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3770

Therefore, the GCF of Fractions 267/10,262/754 is 1/3770

Least Common Multiple of 10,754 with GCF Formula

Least Common Multiple of 10,754 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 10,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,754) = 2

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

GCF(10,754) x common factors =2 x 1 = 2

LCM(10,754) = ( 10 × 754 ) / 2

LCM(10,754) = 7540 / 2

LCM(10,754) = 3770


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 267/10, 262/754

1. What is the HCF of 267,262?

The HCF of 267,262 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 267/10, 262/754?

Answer: GCF of Numerators as per given numbers 267/10, 262/754 is

GCF of Numerators i.e. for 267,262 is 1

LCM of denominators i.e. for 10,754 is 3770.

Thus, GCF of Fractions is 1/3770.Finally, GCF of Fractions for 267/10, 262/754 is 1/3770.