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GCF of 441/776, 969/827

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 441/776, 969/827 i.e 3/641752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/776, 969/827.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 441/776,969/827?

Given fractions are 441/776,969/827

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 441/776,969/827, numerators are 441,969

Denominators are 776,827

The GCF of 441,969 is 3 .

LCM of 776,827 is 641752.

The greatest common factor of 441/776,969/827 = [GCF of 441,969]/[LCM of 776,827]= 3/641752

Therefore, the GCF of 441/776,969/827 is 3/641752.

Greatest Common Factor of 441,969

To find the highest common factor of 441,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 441,969 is 3.

Lets's calculate GCF of 441,969

Greatest Common Factor (GCF) of 441,969 By Common Division

3 441, 969
147, 323

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 441,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,969 By Matching Biggest Common Factor Method

Now, list down the factors of 441

:

1,3,7,9,21,49,63,147,441

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 441,969 . The biggest common factor number is the GCF number.
So the greatest common factor 441,969 is 3.

Lets's calculate LCM of 776,827

Lowest Common Multiple of 776,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 641752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/641752

Therefore, the GCF of Fractions 441/776,969/827 is 3/641752

Least Common Multiple of 776,827 with GCF Formula

Least Common Multiple of 776,827 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 776,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,827) = 1

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

GCF(776,827) x common factors =1 x 1 = 1

LCM(776,827) = ( 776 × 827 ) / 1

LCM(776,827) = 641752 / 1

LCM(776,827) = 641752


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FAQs on GCF of Fractions of 441/776, 969/827

1. What is the HCF of 441,969?

The HCF of 441,969 is 3

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 441/776, 969/827?

Answer: GCF of Numerators as per given numbers 441/776, 969/827 is

GCF of Numerators i.e. for 441,969 is 3

LCM of denominators i.e. for 776,827 is 641752.

Thus, GCF of Fractions is 3/641752.Finally, GCF of Fractions for 441/776, 969/827 is 3/641752.