How to Find GCF of 767/603, 6756/830?

GCF of 767/603, 6756/830

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 767/603, 6756/830 i.e 1/500490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/603, 6756/830.

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 767/603,6756/830?

Given fractions are 767/603,6756/830

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 767/603,6756/830, numerators are 767,6756

Denominators are 603,830

The GCF of 767,6756 is 1 .

LCM of 603,830 is 500490.

The greatest common factor of 767/603,6756/830 = [GCF of 767,6756]/[LCM of 603,830]= 1/500490

Therefore, the GCF of 767/603,6756/830 is 1/500490.

Greatest Common Factor of 767,6756

To find the highest common factor of 767,6756, we have to find the factors of both numbers and list the highest common factor.

The factors of 767 are 1, 13, 59, 767

The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756

The HCF of 767,6756 is 1.

Lets's calculate GCF of 767,6756

Greatest Common Factor (GCF) of 767,6756 By Common Division

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

Greatest Common Factor of 767,6756 By Matching Biggest Common Factor Method

Now, list down the factors of 767

1,13,59,767

Now, list down the factors of 6756

1,2,3,4,6,12,563,1126,1689,2252,3378,6756

Greatest Common Factor

We found the factors 767,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 767,6756 is 1.

Lets's calculate LCM of 603,830

Lowest Common Multiple of 603,830 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 500490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500490

Therefore, the GCF of Fractions 767/603,6756/830 is 1/500490

Least Common Multiple of 603,830 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 603,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,830) = 1

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

GCF(603,830) x common factors =1 x 1 = 1

LCM(603,830) = ( 603 × 830 ) / 1

LCM(603,830) = 500490 / 1

LCM(603,830) = 500490

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FAQs on GCF of Fractions of 767/603, 6756/830

1. What is the HCF of 767,6756?

The HCF of 767,6756 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 767/603, 6756/830?

Answer: GCF of Numerators as per given numbers 767/603, 6756/830 is

GCF of Numerators i.e. for 767,6756 is 1

LCM of denominators i.e. for 603,830 is 500490.

Thus, GCF of Fractions is 1/500490.Finally, GCF of Fractions for 767/603, 6756/830 is 1/500490.