How to Find GCF of 826/465, 131/890, 769/336?

GCF of 826/465, 131/890, 769/336

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 826/465, 131/890, 769/336 i.e 1/4635120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/465, 131/890, 769/336.

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 826/465,131/890,769/336?

Given fractions are 826/465,131/890,769/336

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 826/465,131/890,769/336, numerators are 826,131,769

Denominators are 465,890,336

The GCF of 826,131,769 is 1 .

LCM of 465,890,336 is 4635120.

The greatest common factor of 826/465,131/890,769/336 = [GCF of 826,131,769]/[LCM of 465,890,336]= 1/4635120

Therefore, the GCF of 826/465,131/890,769/336 is 1/4635120.

Greatest Common Factor of 826,131,769

To find the highest common factor of 826,131,769, we have to find the factors of both numbers and list the highest common factor.

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The factors of 131 are 1, 131

The factors of 769 are 1, 769

The HCF of 826,131,769 is 1.

Lets's calculate GCF of 826,131,769

Greatest Common Factor (GCF) of 826,131,769 By Common Division

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

Greatest Common Factor of 826,131,769 By Matching Biggest Common Factor Method

Now, list down the factors of 826

1,2,7,14,59,118,413,826

Now, list down the factors of 131

1,131

Now, list down the factors of 769

1,769

Greatest Common Factor

We found the factors 826,131,769 . The biggest common factor number is the GCF number.
So the greatest common factor 826,131,769 is 1.

Lets's calculate LCM of 465,890,336

Lowest Common Multiple of 465,890,336 using Common Division

2	465, 890, 336
3	465, 445, 168
5	155, 445, 56
	31, 89, 56

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 89 x 56 = 4635120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4635120

Therefore, the GCF of Fractions 826/465,131/890,769/336 is 1/4635120

Least Common Multiple of 465,890,336 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 465,890,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,890,336) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(465,890,336) x common factors =1 x 30 = 30

LCM(465,890,336) = ( 465 × 890 × 336 ) / 30

LCM(465,890,336) = 139053600 / 30

LCM(465,890,336) = 4635120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 826/465, 131/890, 769/336

1. What is the HCF of 826,131,769?

The HCF of 826,131,769 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 826/465, 131/890, 769/336?

Answer: GCF of Numerators as per given numbers 826/465, 131/890, 769/336 is

GCF of Numerators i.e. for 826,131,769 is 1

LCM of denominators i.e. for 465,890,336 is 4635120.

Thus, GCF of Fractions is 1/4635120.Finally, GCF of Fractions for 826/465, 131/890, 769/336 is 1/4635120.