How to Find GCF of 1367/768, 7356/1765?

GCF of 1367/768, 7356/1765

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 1367/768, 7356/1765 i.e 1/1355520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1367/768, 7356/1765.

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 1367/768,7356/1765?

Given fractions are 1367/768,7356/1765

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 1367/768,7356/1765, numerators are 1367,7356

Denominators are 768,1765

The GCF of 1367,7356 is 1 .

LCM of 768,1765 is 1355520.

The greatest common factor of 1367/768,7356/1765 = [GCF of 1367,7356]/[LCM of 768,1765]= 1/1355520

Therefore, the GCF of 1367/768,7356/1765 is 1/1355520.

Greatest Common Factor of 1367,7356

To find the highest common factor of 1367,7356, we have to find the factors of both numbers and list the highest common factor.

The factors of 1367 are 1, 1367

The factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356

The HCF of 1367,7356 is 1.

Lets's calculate GCF of 1367,7356

Greatest Common Factor (GCF) of 1367,7356 By Common Division

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

Greatest Common Factor of 1367,7356 By Matching Biggest Common Factor Method

Now, list down the factors of 1367

1,1367

Now, list down the factors of 7356

1,2,3,4,6,12,613,1226,1839,2452,3678,7356

Greatest Common Factor

We found the factors 1367,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 1367,7356 is 1.

Lets's calculate LCM of 768,1765

Lowest Common Multiple of 768,1765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1355520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1355520

Therefore, the GCF of Fractions 1367/768,7356/1765 is 1/1355520

Least Common Multiple of 768,1765 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 768,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,1765) = 1

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

GCF(768,1765) x common factors =1 x 1 = 1

LCM(768,1765) = ( 768 × 1765 ) / 1

LCM(768,1765) = 1355520 / 1

LCM(768,1765) = 1355520

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FAQs on GCF of Fractions of 1367/768, 7356/1765

1. What is the HCF of 1367,7356?

The HCF of 1367,7356 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 1367/768, 7356/1765?

Answer: GCF of Numerators as per given numbers 1367/768, 7356/1765 is

GCF of Numerators i.e. for 1367,7356 is 1

LCM of denominators i.e. for 768,1765 is 1355520.

Thus, GCF of Fractions is 1/1355520.Finally, GCF of Fractions for 1367/768, 7356/1765 is 1/1355520.