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GCF of 476/41, 170/152

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 476/41, 170/152 i.e 34/6232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/41, 170/152.

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 476/41,170/152?

Given fractions are 476/41,170/152

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 476/41,170/152, numerators are 476,170

Denominators are 41,152

The GCF of 476,170 is 34 .

LCM of 41,152 is 6232.

The greatest common factor of 476/41,170/152 = [GCF of 476,170]/[LCM of 41,152]= 34/6232

Therefore, the GCF of 476/41,170/152 is 34/6232.

Greatest Common Factor of 476,170

To find the highest common factor of 476,170, we have to find the factors of both numbers and list the highest common factor.

The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170

The HCF of 476,170 is 34.

Lets's calculate GCF of 476,170

Greatest Common Factor (GCF) of 476,170 By Common Division

2 476, 170
17 238, 85
14, 5

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 476,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,170 By Matching Biggest Common Factor Method

Now, list down the factors of 476

:

1,2,4,7,14,17,28,34,68,119,238,476

Now, list down the factors of 170

:

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 476,170 . The biggest common factor number is the GCF number.
So the greatest common factor 476,170 is 34.

Lets's calculate LCM of 41,152

Lowest Common Multiple of 41,152 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/6232

Therefore, the GCF of Fractions 476/41,170/152 is 34/6232

Least Common Multiple of 41,152 with GCF Formula

Least Common Multiple of 41,152 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 41,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,152) = 1

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

GCF(41,152) x common factors =1 x 1 = 1

LCM(41,152) = ( 41 × 152 ) / 1

LCM(41,152) = 6232 / 1

LCM(41,152) = 6232


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FAQs on GCF of Fractions of 476/41, 170/152

1. What is the HCF of 476,170?

The HCF of 476,170 is 34

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 476/41, 170/152?

Answer: GCF of Numerators as per given numbers 476/41, 170/152 is

GCF of Numerators i.e. for 476,170 is 34

LCM of denominators i.e. for 41,152 is 6232.

Thus, GCF of Fractions is 34/6232.Finally, GCF of Fractions for 476/41, 170/152 is 34/6232.