How to Find GCF of 208/530, 864/151?

GCF of 208/530, 864/151

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 208/530, 864/151 i.e 16/80030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/530, 864/151.

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 208/530,864/151?

Given fractions are 208/530,864/151

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 208/530,864/151, numerators are 208,864

Denominators are 530,151

The GCF of 208,864 is 16 .

LCM of 530,151 is 80030.

The greatest common factor of 208/530,864/151 = [GCF of 208,864]/[LCM of 530,151]= 16/80030

Therefore, the GCF of 208/530,864/151 is 16/80030.

Greatest Common Factor of 208,864

To find the highest common factor of 208,864, we have to find the factors of both numbers and list the highest common factor.

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

The HCF of 208,864 is 16.

Lets's calculate GCF of 208,864

Greatest Common Factor (GCF) of 208,864 By Common Division

2	208, 864
2	104, 432
2	52, 216
2	26, 108
	13, 54

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 208,864 By Matching Biggest Common Factor Method

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Now, list down the factors of 864

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 208,864 . The biggest common factor number is the GCF number.
So the greatest common factor 208,864 is 16.

Lets's calculate LCM of 530,151

Lowest Common Multiple of 530,151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 80030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/80030

Therefore, the GCF of Fractions 208/530,864/151 is 16/80030

Least Common Multiple of 530,151 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 530,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,151) = 1

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

GCF(530,151) x common factors =1 x 1 = 1

LCM(530,151) = ( 530 × 151 ) / 1

LCM(530,151) = 80030 / 1

LCM(530,151) = 80030

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FAQs on GCF of Fractions of 208/530, 864/151

1. What is the HCF of 208,864?

The HCF of 208,864 is 16

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 208/530, 864/151?

Answer: GCF of Numerators as per given numbers 208/530, 864/151 is

GCF of Numerators i.e. for 208,864 is 16

LCM of denominators i.e. for 530,151 is 80030.

Thus, GCF of Fractions is 16/80030.Finally, GCF of Fractions for 208/530, 864/151 is 16/80030.