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GCF of 866/64, 802/978

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 866/64, 802/978 i.e 2/31296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/64, 802/978.

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 866/64,802/978?

Given fractions are 866/64,802/978

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 866/64,802/978, numerators are 866,802

Denominators are 64,978

The GCF of 866,802 is 2 .

LCM of 64,978 is 31296.

The greatest common factor of 866/64,802/978 = [GCF of 866,802]/[LCM of 64,978]= 2/31296

Therefore, the GCF of 866/64,802/978 is 2/31296.

Greatest Common Factor of 866,802

To find the highest common factor of 866,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 866 are 1, 2, 433, 866

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

The HCF of 866,802 is 2.

Lets's calculate GCF of 866,802

Greatest Common Factor (GCF) of 866,802 By Common Division

2 866, 802
433, 401

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

Greatest Common Factor of 866,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,802 By Matching Biggest Common Factor Method

Now, list down the factors of 866

:

1,2,433,866

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 866,802 . The biggest common factor number is the GCF number.
So the greatest common factor 866,802 is 2.

Lets's calculate LCM of 64,978

Lowest Common Multiple of 64,978 using Common Division

2 64, 978
32, 489

∴ So the LCM of the given numbers is 2 x 32 x 489 = 31296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31296

Therefore, the GCF of Fractions 866/64,802/978 is 2/31296

Least Common Multiple of 64,978 with GCF Formula

Least Common Multiple of 64,978 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 64,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,978) = 2

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

GCF(64,978) x common factors =2 x 1 = 2

LCM(64,978) = ( 64 × 978 ) / 2

LCM(64,978) = 62592 / 2

LCM(64,978) = 31296


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 866/64, 802/978

1. What is the HCF of 866,802?

The HCF of 866,802 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 866/64, 802/978?

Answer: GCF of Numerators as per given numbers 866/64, 802/978 is

GCF of Numerators i.e. for 866,802 is 2

LCM of denominators i.e. for 64,978 is 31296.

Thus, GCF of Fractions is 2/31296.Finally, GCF of Fractions for 866/64, 802/978 is 2/31296.