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GCF of 920/85, 802/8278

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 920/85, 802/8278 i.e 2/703630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/85, 802/8278.

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 920/85,802/8278?

Given fractions are 920/85,802/8278

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 920/85,802/8278, numerators are 920,802

Denominators are 85,8278

The GCF of 920,802 is 2 .

LCM of 85,8278 is 703630.

The greatest common factor of 920/85,802/8278 = [GCF of 920,802]/[LCM of 85,8278]= 2/703630

Therefore, the GCF of 920/85,802/8278 is 2/703630.

Greatest Common Factor of 920,802

To find the highest common factor of 920,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

The HCF of 920,802 is 2.

Lets's calculate GCF of 920,802

Greatest Common Factor (GCF) of 920,802 By Common Division

2 920, 802
460, 401

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 920,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,802 By Matching Biggest Common Factor Method

Now, list down the factors of 920

:

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 920,802 . The biggest common factor number is the GCF number.
So the greatest common factor 920,802 is 2.

Lets's calculate LCM of 85,8278

Lowest Common Multiple of 85,8278 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 703630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/703630

Therefore, the GCF of Fractions 920/85,802/8278 is 2/703630

Least Common Multiple of 85,8278 with GCF Formula

Least Common Multiple of 85,8278 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 85,8278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,8278) = 1

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

GCF(85,8278) x common factors =1 x 1 = 1

LCM(85,8278) = ( 85 × 8278 ) / 1

LCM(85,8278) = 703630 / 1

LCM(85,8278) = 703630


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 920/85, 802/8278

1. What is the HCF of 920,802?

The HCF of 920,802 is 2

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 920/85, 802/8278?

Answer: GCF of Numerators as per given numbers 920/85, 802/8278 is

GCF of Numerators i.e. for 920,802 is 2

LCM of denominators i.e. for 85,8278 is 703630.

Thus, GCF of Fractions is 2/703630.Finally, GCF of Fractions for 920/85, 802/8278 is 2/703630.