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GCF of 370/829, 775/783

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 370/829, 775/783 i.e 5/649107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/829, 775/783.

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 370/829,775/783?

Given fractions are 370/829,775/783

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 370/829,775/783, numerators are 370,775

Denominators are 829,783

The GCF of 370,775 is 5 .

LCM of 829,783 is 649107.

The greatest common factor of 370/829,775/783 = [GCF of 370,775]/[LCM of 829,783]= 5/649107

Therefore, the GCF of 370/829,775/783 is 5/649107.

Greatest Common Factor of 370,775

To find the highest common factor of 370,775, we have to find the factors of both numbers and list the highest common factor.

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The factors of 775 are 1, 5, 25, 31, 155, 775

The HCF of 370,775 is 5.

Lets's calculate GCF of 370,775

Greatest Common Factor (GCF) of 370,775 By Common Division

5 370, 775
74, 155

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 370,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,775 By Matching Biggest Common Factor Method

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Now, list down the factors of 775

:

1,5,25,31,155,775

Greatest Common Factor

We found the factors 370,775 . The biggest common factor number is the GCF number.
So the greatest common factor 370,775 is 5.

Lets's calculate LCM of 829,783

Lowest Common Multiple of 829,783 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 649107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/649107

Therefore, the GCF of Fractions 370/829,775/783 is 5/649107

Least Common Multiple of 829,783 with GCF Formula

Least Common Multiple of 829,783 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 829,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,783) = 1

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

GCF(829,783) x common factors =1 x 1 = 1

LCM(829,783) = ( 829 × 783 ) / 1

LCM(829,783) = 649107 / 1

LCM(829,783) = 649107


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FAQs on GCF of Fractions of 370/829, 775/783

1. What is the HCF of 370,775?

The HCF of 370,775 is 5

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 370/829, 775/783?

Answer: GCF of Numerators as per given numbers 370/829, 775/783 is

GCF of Numerators i.e. for 370,775 is 5

LCM of denominators i.e. for 829,783 is 649107.

Thus, GCF of Fractions is 5/649107.Finally, GCF of Fractions for 370/829, 775/783 is 5/649107.