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GCF of 764/32, 804/560

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 764/32, 804/560 i.e 4/1120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 764/32, 804/560.

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 764/32,804/560?

Given fractions are 764/32,804/560

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 764/32,804/560, numerators are 764,804

Denominators are 32,560

The GCF of 764,804 is 4 .

LCM of 32,560 is 1120.

The greatest common factor of 764/32,804/560 = [GCF of 764,804]/[LCM of 32,560]= 4/1120

Therefore, the GCF of 764/32,804/560 is 4/1120.

Greatest Common Factor of 764,804

To find the highest common factor of 764,804, we have to find the factors of both numbers and list the highest common factor.

The factors of 764 are 1, 2, 4, 191, 382, 764

The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

The HCF of 764,804 is 4.

Lets's calculate GCF of 764,804

Greatest Common Factor (GCF) of 764,804 By Common Division

2 764, 804
2 382, 402
191, 201

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 764,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,804 By Matching Biggest Common Factor Method

Now, list down the factors of 764

:

1,2,4,191,382,764

Now, list down the factors of 804

:

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 764,804 . The biggest common factor number is the GCF number.
So the greatest common factor 764,804 is 4.

Lets's calculate LCM of 32,560

Lowest Common Multiple of 32,560 using Common Division

2 32, 560
2 16, 280
2 8, 140
2 4, 70
2, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 35 = 1120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1120

Therefore, the GCF of Fractions 764/32,804/560 is 4/1120

Least Common Multiple of 32,560 with GCF Formula

Least Common Multiple of 32,560 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 32,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,560) = 16

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

GCF(32,560) x common factors =16 x 1 = 16

LCM(32,560) = ( 32 × 560 ) / 16

LCM(32,560) = 17920 / 16

LCM(32,560) = 1120


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FAQs on GCF of Fractions of 764/32, 804/560

1. What is the HCF of 764,804?

The HCF of 764,804 is 4

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 764/32, 804/560?

Answer: GCF of Numerators as per given numbers 764/32, 804/560 is

GCF of Numerators i.e. for 764,804 is 4

LCM of denominators i.e. for 32,560 is 1120.

Thus, GCF of Fractions is 4/1120.Finally, GCF of Fractions for 764/32, 804/560 is 4/1120.