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GCF of 805/836, 995/377

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 805/836, 995/377 i.e 5/315172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/836, 995/377.

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 805/836,995/377?

Given fractions are 805/836,995/377

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 805/836,995/377, numerators are 805,995

Denominators are 836,377

The GCF of 805,995 is 5 .

LCM of 836,377 is 315172.

The greatest common factor of 805/836,995/377 = [GCF of 805,995]/[LCM of 836,377]= 5/315172

Therefore, the GCF of 805/836,995/377 is 5/315172.

Greatest Common Factor of 805,995

To find the highest common factor of 805,995, we have to find the factors of both numbers and list the highest common factor.

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The factors of 995 are 1, 5, 199, 995

The HCF of 805,995 is 5.

Lets's calculate GCF of 805,995

Greatest Common Factor (GCF) of 805,995 By Common Division

5 805, 995
161, 199

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

Greatest Common Factor of 805,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,995 By Matching Biggest Common Factor Method

Now, list down the factors of 805

:

1,5,7,23,35,115,161,805

Now, list down the factors of 995

:

1,5,199,995

Greatest Common Factor

We found the factors 805,995 . The biggest common factor number is the GCF number.
So the greatest common factor 805,995 is 5.

Lets's calculate LCM of 836,377

Lowest Common Multiple of 836,377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 315172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/315172

Therefore, the GCF of Fractions 805/836,995/377 is 5/315172

Least Common Multiple of 836,377 with GCF Formula

Least Common Multiple of 836,377 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 836,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,377) = 1

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

GCF(836,377) x common factors =1 x 1 = 1

LCM(836,377) = ( 836 × 377 ) / 1

LCM(836,377) = 315172 / 1

LCM(836,377) = 315172


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FAQs on GCF of Fractions of 805/836, 995/377

1. What is the HCF of 805,995?

The HCF of 805,995 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 805/836, 995/377?

Answer: GCF of Numerators as per given numbers 805/836, 995/377 is

GCF of Numerators i.e. for 805,995 is 5

LCM of denominators i.e. for 836,377 is 315172.

Thus, GCF of Fractions is 5/315172.Finally, GCF of Fractions for 805/836, 995/377 is 5/315172.