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GCF of 895/942, 802/314

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 895/942, 802/314 i.e 1/942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/942, 802/314.

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 895/942,802/314?

Given fractions are 895/942,802/314

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 895/942,802/314, numerators are 895,802

Denominators are 942,314

The GCF of 895,802 is 1 .

LCM of 942,314 is 942.

The greatest common factor of 895/942,802/314 = [GCF of 895,802]/[LCM of 942,314]= 1/942

Therefore, the GCF of 895/942,802/314 is 1/942.

Greatest Common Factor of 895,802

To find the highest common factor of 895,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 895 are 1, 5, 179, 895

The factors of 802 are 1, 2, 401, 802

The HCF of 895,802 is 1.

Lets's calculate GCF of 895,802

Greatest Common Factor (GCF) of 895,802 By Common Division

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

Greatest Common Factor of 895,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,802 By Matching Biggest Common Factor Method

Now, list down the factors of 895

:

1,5,179,895

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 895,802 . The biggest common factor number is the GCF number.
So the greatest common factor 895,802 is 1.

Lets's calculate LCM of 942,314

Lowest Common Multiple of 942,314 using Common Division

2 942, 314
157 471, 157
3, 1

∴ So the LCM of the given numbers is 2 x 157 x 3 x 1 = 942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/942

Therefore, the GCF of Fractions 895/942,802/314 is 1/942

Least Common Multiple of 942,314 with GCF Formula

Least Common Multiple of 942,314 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 942,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,314) = 314

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

GCF(942,314) x common factors =314 x 1 = 314

LCM(942,314) = ( 942 × 314 ) / 314

LCM(942,314) = 295788 / 314

LCM(942,314) = 942


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FAQs on GCF of Fractions of 895/942, 802/314

1. What is the HCF of 895,802?

The HCF of 895,802 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 895/942, 802/314?

Answer: GCF of Numerators as per given numbers 895/942, 802/314 is

GCF of Numerators i.e. for 895,802 is 1

LCM of denominators i.e. for 942,314 is 942.

Thus, GCF of Fractions is 1/942.Finally, GCF of Fractions for 895/942, 802/314 is 1/942.