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GCF of 1267/211, 6467/4562

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 1267/211, 6467/4562 i.e 1/962582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1267/211, 6467/4562.

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 1267/211,6467/4562?

Given fractions are 1267/211,6467/4562

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 1267/211,6467/4562, numerators are 1267,6467

Denominators are 211,4562

The GCF of 1267,6467 is 1 .

LCM of 211,4562 is 962582.

The greatest common factor of 1267/211,6467/4562 = [GCF of 1267,6467]/[LCM of 211,4562]= 1/962582

Therefore, the GCF of 1267/211,6467/4562 is 1/962582.

Greatest Common Factor of 1267,6467

To find the highest common factor of 1267,6467, 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 6467 are 1, 29, 223, 6467

The HCF of 1267,6467 is 1.

Lets's calculate GCF of 1267,6467

Greatest Common Factor (GCF) of 1267,6467 By Common Division

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

Greatest Common Factor of 1267,6467 By Matching Biggest Common Factor Method

Greatest Common Factor of 1267,6467 By Matching Biggest Common Factor Method

Now, list down the factors of 1267

:

1,7,181,1267

Now, list down the factors of 6467

:

1,29,223,6467

Greatest Common Factor

We found the factors 1267,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 1267,6467 is 1.

Lets's calculate LCM of 211,4562

Lowest Common Multiple of 211,4562 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 962582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/962582

Therefore, the GCF of Fractions 1267/211,6467/4562 is 1/962582

Least Common Multiple of 211,4562 with GCF Formula

Least Common Multiple of 211,4562 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 211,4562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,4562) = 1

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

GCF(211,4562) x common factors =1 x 1 = 1

LCM(211,4562) = ( 211 × 4562 ) / 1

LCM(211,4562) = 962582 / 1

LCM(211,4562) = 962582


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FAQs on GCF of Fractions of 1267/211, 6467/4562

1. What is the HCF of 1267,6467?

The HCF of 1267,6467 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 1267/211, 6467/4562?

Answer: GCF of Numerators as per given numbers 1267/211, 6467/4562 is

GCF of Numerators i.e. for 1267,6467 is 1

LCM of denominators i.e. for 211,4562 is 962582.

Thus, GCF of Fractions is 1/962582.Finally, GCF of Fractions for 1267/211, 6467/4562 is 1/962582.