How to Find GCF of 1546/396, 6907/764?

GCF of 1546/396, 6907/764

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 1546/396, 6907/764 i.e 1/75636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1546/396, 6907/764.

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 1546/396,6907/764?

Given fractions are 1546/396,6907/764

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 1546/396,6907/764, numerators are 1546,6907

Denominators are 396,764

The GCF of 1546,6907 is 1 .

LCM of 396,764 is 75636.

The greatest common factor of 1546/396,6907/764 = [GCF of 1546,6907]/[LCM of 396,764]= 1/75636

Therefore, the GCF of 1546/396,6907/764 is 1/75636.

Greatest Common Factor of 1546,6907

To find the highest common factor of 1546,6907, we have to find the factors of both numbers and list the highest common factor.

The factors of 1546 are 1, 2, 773, 1546

The factors of 6907 are 1, 6907

The HCF of 1546,6907 is 1.

Lets's calculate GCF of 1546,6907

Greatest Common Factor (GCF) of 1546,6907 By Common Division

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

Greatest Common Factor of 1546,6907 By Matching Biggest Common Factor Method

Now, list down the factors of 1546

1,2,773,1546

Now, list down the factors of 6907

1,6907

Greatest Common Factor

We found the factors 1546,6907 . The biggest common factor number is the GCF number.
So the greatest common factor 1546,6907 is 1.

Lets's calculate LCM of 396,764

Lowest Common Multiple of 396,764 using Common Division

2	396, 764
2	198, 382
	99, 191

∴ So the LCM of the given numbers is 2 x 2 x 99 x 191 = 75636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75636

Therefore, the GCF of Fractions 1546/396,6907/764 is 1/75636

Least Common Multiple of 396,764 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 396,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,764) = 4

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

GCF(396,764) x common factors =4 x 1 = 4

LCM(396,764) = ( 396 × 764 ) / 4

LCM(396,764) = 302544 / 4

LCM(396,764) = 75636

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FAQs on GCF of Fractions of 1546/396, 6907/764

1. What is the HCF of 1546,6907?

The HCF of 1546,6907 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 1546/396, 6907/764?

Answer: GCF of Numerators as per given numbers 1546/396, 6907/764 is

GCF of Numerators i.e. for 1546,6907 is 1

LCM of denominators i.e. for 396,764 is 75636.

Thus, GCF of Fractions is 1/75636.Finally, GCF of Fractions for 1546/396, 6907/764 is 1/75636.