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GCF of 348/504, 602/168

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 348/504, 602/168 i.e 2/504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/504, 602/168.

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 348/504,602/168?

Given fractions are 348/504,602/168

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 348/504,602/168, numerators are 348,602

Denominators are 504,168

The GCF of 348,602 is 2 .

LCM of 504,168 is 504.

The greatest common factor of 348/504,602/168 = [GCF of 348,602]/[LCM of 504,168]= 2/504

Therefore, the GCF of 348/504,602/168 is 2/504.

Greatest Common Factor of 348,602

To find the highest common factor of 348,602, we have to find the factors of both numbers and list the highest common factor.

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602

The HCF of 348,602 is 2.

Lets's calculate GCF of 348,602

Greatest Common Factor (GCF) of 348,602 By Common Division

2 348, 602
174, 301

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

Greatest Common Factor of 348,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,602 By Matching Biggest Common Factor Method

Now, list down the factors of 348

:

1,2,3,4,6,12,29,58,87,116,174,348

Now, list down the factors of 602

:

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 348,602 . The biggest common factor number is the GCF number.
So the greatest common factor 348,602 is 2.


Lets's calculate LCM of 504,168

Lowest Common Multiple of 504,168 using Common Division

2 504, 168
2 252, 84
2 126, 42
3 63, 21
7 7, 21
1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 3 = 504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504

Therefore, the GCF of Fractions 348/504,602/168 is 2/504

Least Common Multiple of 504,168 with GCF Formula

Least Common Multiple of 504,168 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 504,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,168) = 168

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

GCF(504,168) x common factors =168 x 1 = 168

LCM(504,168) = ( 504 × 168 ) / 168

LCM(504,168) = 84672 / 168

LCM(504,168) = 504


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 348/504, 602/168

1. What is the HCF of 348,602?

The HCF of 348,602 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 348/504, 602/168?

Answer: GCF of Numerators as per given numbers 348/504, 602/168 is

GCF of Numerators i.e. for 348,602 is 2

LCM of denominators i.e. for 504,168 is 504.

Thus, GCF of Fractions is 2/504.Finally, GCF of Fractions for 348/504, 602/168 is 2/504.