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GCF of 602/700, 170/697

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 602/700, 170/697 i.e 2/487900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 602/700, 170/697.

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 602/700,170/697?

Given fractions are 602/700,170/697

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 602/700,170/697, numerators are 602,170

Denominators are 700,697

The GCF of 602,170 is 2 .

LCM of 700,697 is 487900.

The greatest common factor of 602/700,170/697 = [GCF of 602,170]/[LCM of 700,697]= 2/487900

Therefore, the GCF of 602/700,170/697 is 2/487900.

Greatest Common Factor of 602,170

To find the highest common factor of 602,170, we have to find the factors of both numbers and list the highest common factor.

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

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

The HCF of 602,170 is 2.

Lets's calculate GCF of 602,170

Greatest Common Factor (GCF) of 602,170 By Common Division

2 602, 170
301, 85

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

Greatest Common Factor of 602,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,170 By Matching Biggest Common Factor Method

Now, list down the factors of 602

:

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

Now, list down the factors of 170

:

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

Greatest Common Factor

We found the factors 602,170 . The biggest common factor number is the GCF number.
So the greatest common factor 602,170 is 2.

Lets's calculate LCM of 700,697

Lowest Common Multiple of 700,697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 487900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/487900

Therefore, the GCF of Fractions 602/700,170/697 is 2/487900

Least Common Multiple of 700,697 with GCF Formula

Least Common Multiple of 700,697 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 700,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,697) = 1

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

GCF(700,697) x common factors =1 x 1 = 1

LCM(700,697) = ( 700 × 697 ) / 1

LCM(700,697) = 487900 / 1

LCM(700,697) = 487900


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FAQs on GCF of Fractions of 602/700, 170/697

1. What is the HCF of 602,170?

The HCF of 602,170 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 602/700, 170/697?

Answer: GCF of Numerators as per given numbers 602/700, 170/697 is

GCF of Numerators i.e. for 602,170 is 2

LCM of denominators i.e. for 700,697 is 487900.

Thus, GCF of Fractions is 2/487900.Finally, GCF of Fractions for 602/700, 170/697 is 2/487900.