How to Find GCF of 532/314, 800/231?

GCF of 532/314, 800/231

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 532/314, 800/231 i.e 4/72534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/314, 800/231.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 532/314,800/231?

Given fractions are 532/314,800/231

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 532/314,800/231, numerators are 532,800

Denominators are 314,231

The GCF of 532,800 is 4 .

LCM of 314,231 is 72534.

The greatest common factor of 532/314,800/231 = [GCF of 532,800]/[LCM of 314,231]= 4/72534

Therefore, the GCF of 532/314,800/231 is 4/72534.

Greatest Common Factor of 532,800

To find the highest common factor of 532,800, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

The HCF of 532,800 is 4.

Lets's calculate GCF of 532,800

Greatest Common Factor (GCF) of 532,800 By Common Division

2	532, 800
2	266, 400
	133, 200

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

Greatest Common Factor of 532,800 By Matching Biggest Common Factor Method

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 800

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 532,800 . The biggest common factor number is the GCF number.
So the greatest common factor 532,800 is 4.

Lets's calculate LCM of 314,231

Lowest Common Multiple of 314,231 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/72534

Therefore, the GCF of Fractions 532/314,800/231 is 4/72534

Least Common Multiple of 314,231 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 314,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,231) = 1

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

GCF(314,231) x common factors =1 x 1 = 1

LCM(314,231) = ( 314 × 231 ) / 1

LCM(314,231) = 72534 / 1

LCM(314,231) = 72534

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FAQs on GCF of Fractions of 532/314, 800/231

1. What is the HCF of 532,800?

The HCF of 532,800 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 532/314, 800/231?

Answer: GCF of Numerators as per given numbers 532/314, 800/231 is

GCF of Numerators i.e. for 532,800 is 4

LCM of denominators i.e. for 314,231 is 72534.

Thus, GCF of Fractions is 4/72534.Finally, GCF of Fractions for 532/314, 800/231 is 4/72534.