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GCF of 356/528, 380/800

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 356/528, 380/800 i.e 4/26400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/528, 380/800.

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 356/528,380/800?

Given fractions are 356/528,380/800

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 356/528,380/800, numerators are 356,380

Denominators are 528,800

The GCF of 356,380 is 4 .

LCM of 528,800 is 26400.

The greatest common factor of 356/528,380/800 = [GCF of 356,380]/[LCM of 528,800]= 4/26400

Therefore, the GCF of 356/528,380/800 is 4/26400.

Greatest Common Factor of 356,380

To find the highest common factor of 356,380, we have to find the factors of both numbers and list the highest common factor.

The factors of 356 are 1, 2, 4, 89, 178, 356

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 356,380 is 4.

Lets's calculate GCF of 356,380

Greatest Common Factor (GCF) of 356,380 By Common Division

2 356, 380
2 178, 190
89, 95

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

Greatest Common Factor of 356,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,380 By Matching Biggest Common Factor Method

Now, list down the factors of 356

:

1,2,4,89,178,356

Now, list down the factors of 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 356,380 . The biggest common factor number is the GCF number.
So the greatest common factor 356,380 is 4.

Lets's calculate LCM of 528,800

Lowest Common Multiple of 528,800 using Common Division

2 528, 800
2 264, 400
2 132, 200
2 66, 100
33, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 33 x 50 = 26400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26400

Therefore, the GCF of Fractions 356/528,380/800 is 4/26400

Least Common Multiple of 528,800 with GCF Formula

Least Common Multiple of 528,800 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 528,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,800) = 16

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

GCF(528,800) x common factors =16 x 1 = 16

LCM(528,800) = ( 528 × 800 ) / 16

LCM(528,800) = 422400 / 16

LCM(528,800) = 26400


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FAQs on GCF of Fractions of 356/528, 380/800

1. What is the HCF of 356,380?

The HCF of 356,380 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 356/528, 380/800?

Answer: GCF of Numerators as per given numbers 356/528, 380/800 is

GCF of Numerators i.e. for 356,380 is 4

LCM of denominators i.e. for 528,800 is 26400.

Thus, GCF of Fractions is 4/26400.Finally, GCF of Fractions for 356/528, 380/800 is 4/26400.