How to Find GCF of 148/210, 3230/317?

GCF of 148/210, 3230/317

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 148/210, 3230/317 i.e 2/66570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/210, 3230/317.

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 148/210,3230/317?

Given fractions are 148/210,3230/317

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 148/210,3230/317, numerators are 148,3230

Denominators are 210,317

The GCF of 148,3230 is 2 .

LCM of 210,317 is 66570.

The greatest common factor of 148/210,3230/317 = [GCF of 148,3230]/[LCM of 210,317]= 2/66570

Therefore, the GCF of 148/210,3230/317 is 2/66570.

Greatest Common Factor of 148,3230

To find the highest common factor of 148,3230, we have to find the factors of both numbers and list the highest common factor.

The factors of 148 are 1, 2, 4, 37, 74, 148

The factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230

The HCF of 148,3230 is 2.

Lets's calculate GCF of 148,3230

Greatest Common Factor (GCF) of 148,3230 By Common Division

2	148, 3230
	74, 1615

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

Greatest Common Factor of 148,3230 By Matching Biggest Common Factor Method

Now, list down the factors of 148

1,2,4,37,74,148

Now, list down the factors of 3230

1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230

Greatest Common Factor

We found the factors 148,3230 . The biggest common factor number is the GCF number.
So the greatest common factor 148,3230 is 2.

Lets's calculate LCM of 210,317

Lowest Common Multiple of 210,317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 66570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66570

Therefore, the GCF of Fractions 148/210,3230/317 is 2/66570

Least Common Multiple of 210,317 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 210,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,317) = 1

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

GCF(210,317) x common factors =1 x 1 = 1

LCM(210,317) = ( 210 × 317 ) / 1

LCM(210,317) = 66570 / 1

LCM(210,317) = 66570

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FAQs on GCF of Fractions of 148/210, 3230/317

1. What is the HCF of 148,3230?

The HCF of 148,3230 is 2

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 148/210, 3230/317?

Answer: GCF of Numerators as per given numbers 148/210, 3230/317 is

GCF of Numerators i.e. for 148,3230 is 2

LCM of denominators i.e. for 210,317 is 66570.

Thus, GCF of Fractions is 2/66570.Finally, GCF of Fractions for 148/210, 3230/317 is 2/66570.