How to Find GCF of 907/767, 825/150, 404/594?

GCF of 907/767, 825/150, 404/594

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 907/767, 825/150, 404/594 i.e 1/11389950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/767, 825/150, 404/594.

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 907/767,825/150,404/594?

Given fractions are 907/767,825/150,404/594

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 907/767,825/150,404/594, numerators are 907,825,404

Denominators are 767,150,594

The GCF of 907,825,404 is 1 .

LCM of 767,150,594 is 11389950.

The greatest common factor of 907/767,825/150,404/594 = [GCF of 907,825,404]/[LCM of 767,150,594]= 1/11389950

Therefore, the GCF of 907/767,825/150,404/594 is 1/11389950.

Greatest Common Factor of 907,825,404

To find the highest common factor of 907,825,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 907,825,404 is 1.

Lets's calculate GCF of 907,825,404

Greatest Common Factor (GCF) of 907,825,404 By Common Division

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

Greatest Common Factor of 907,825,404 By Matching Biggest Common Factor Method

Now, list down the factors of 907

1,907

Now, list down the factors of 825

1,3,5,11,15,25,33,55,75,165,275,825

Now, list down the factors of 404

1,2,4,101,202,404

Greatest Common Factor

We found the factors 907,825,404 . The biggest common factor number is the GCF number.
So the greatest common factor 907,825,404 is 1.

Lets's calculate LCM of 767,150,594

Lowest Common Multiple of 767,150,594 using Common Division

2	767, 150, 594
3	767, 75, 297
	767, 25, 99

∴ So the LCM of the given numbers is 2 x 3 x 767 x 25 x 99 = 11389950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11389950

Therefore, the GCF of Fractions 907/767,825/150,404/594 is 1/11389950

Least Common Multiple of 767,150,594 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 767,150,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,150,594) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(767,150,594) x common factors =1 x 6 = 6

LCM(767,150,594) = ( 767 × 150 × 594 ) / 6

LCM(767,150,594) = 68339700 / 6

LCM(767,150,594) = 11389950

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 907/767, 825/150, 404/594

1. What is the HCF of 907,825,404?

The HCF of 907,825,404 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 907/767, 825/150, 404/594?

Answer: GCF of Numerators as per given numbers 907/767, 825/150, 404/594 is

GCF of Numerators i.e. for 907,825,404 is 1

LCM of denominators i.e. for 767,150,594 is 11389950.

Thus, GCF of Fractions is 1/11389950.Finally, GCF of Fractions for 907/767, 825/150, 404/594 is 1/11389950.