How to Find GCF of 139/920, 8405/152?

GCF of 139/920, 8405/152

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 139/920, 8405/152 i.e 1/17480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/920, 8405/152.

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 139/920,8405/152?

Given fractions are 139/920,8405/152

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 139/920,8405/152, numerators are 139,8405

Denominators are 920,152

The GCF of 139,8405 is 1 .

LCM of 920,152 is 17480.

The greatest common factor of 139/920,8405/152 = [GCF of 139,8405]/[LCM of 920,152]= 1/17480

Therefore, the GCF of 139/920,8405/152 is 1/17480.

Greatest Common Factor of 139,8405

To find the highest common factor of 139,8405, we have to find the factors of both numbers and list the highest common factor.

The factors of 139 are 1, 139

The factors of 8405 are 1, 5, 41, 205, 1681, 8405

The HCF of 139,8405 is 1.

Lets's calculate GCF of 139,8405

Greatest Common Factor (GCF) of 139,8405 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 139,8405 By Matching Biggest Common Factor Method

Now, list down the factors of 139

1,139

Now, list down the factors of 8405

1,5,41,205,1681,8405

Greatest Common Factor

We found the factors 139,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 139,8405 is 1.

Lets's calculate LCM of 920,152

Lowest Common Multiple of 920,152 using Common Division

2	920, 152
2	460, 76
2	230, 38
	115, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 115 x 19 = 17480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17480

Therefore, the GCF of Fractions 139/920,8405/152 is 1/17480

Least Common Multiple of 920,152 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 920,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,152) = 8

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

GCF(920,152) x common factors =8 x 1 = 8

LCM(920,152) = ( 920 × 152 ) / 8

LCM(920,152) = 139840 / 8

LCM(920,152) = 17480

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FAQs on GCF of Fractions of 139/920, 8405/152

1. What is the HCF of 139,8405?

The HCF of 139,8405 is 1

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 139/920, 8405/152?

Answer: GCF of Numerators as per given numbers 139/920, 8405/152 is

GCF of Numerators i.e. for 139,8405 is 1

LCM of denominators i.e. for 920,152 is 17480.

Thus, GCF of Fractions is 1/17480.Finally, GCF of Fractions for 139/920, 8405/152 is 1/17480.