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GCF of 1609/274, 3501/9670

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 1609/274, 3501/9670 i.e 1/1324790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1609/274, 3501/9670.

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 1609/274,3501/9670?

Given fractions are 1609/274,3501/9670

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 1609/274,3501/9670, numerators are 1609,3501

Denominators are 274,9670

The GCF of 1609,3501 is 1 .

LCM of 274,9670 is 1324790.

The greatest common factor of 1609/274,3501/9670 = [GCF of 1609,3501]/[LCM of 274,9670]= 1/1324790

Therefore, the GCF of 1609/274,3501/9670 is 1/1324790.

Greatest Common Factor of 1609,3501

To find the highest common factor of 1609,3501, we have to find the factors of both numbers and list the highest common factor.

The factors of 1609 are 1, 1609

The factors of 3501 are 1, 3, 9, 389, 1167, 3501

The HCF of 1609,3501 is 1.

Lets's calculate GCF of 1609,3501

Greatest Common Factor (GCF) of 1609,3501 By Common Division

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

Greatest Common Factor of 1609,3501 By Matching Biggest Common Factor Method

Greatest Common Factor of 1609,3501 By Matching Biggest Common Factor Method

Now, list down the factors of 1609

:

1,1609

Now, list down the factors of 3501

:

1,3,9,389,1167,3501

Greatest Common Factor

We found the factors 1609,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 1609,3501 is 1.


Lets's calculate LCM of 274,9670

Lowest Common Multiple of 274,9670 using Common Division

2 274, 9670
137, 4835

∴ So the LCM of the given numbers is 2 x 137 x 4835 = 1324790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324790

Therefore, the GCF of Fractions 1609/274,3501/9670 is 1/1324790

Least Common Multiple of 274,9670 with GCF Formula

Least Common Multiple of 274,9670 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 274,9670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,9670) = 2

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

GCF(274,9670) x common factors =2 x 1 = 2

LCM(274,9670) = ( 274 × 9670 ) / 2

LCM(274,9670) = 2649580 / 2

LCM(274,9670) = 1324790


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1609/274, 3501/9670

1. What is the HCF of 1609,3501?

The HCF of 1609,3501 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 1609/274, 3501/9670?

Answer: GCF of Numerators as per given numbers 1609/274, 3501/9670 is

GCF of Numerators i.e. for 1609,3501 is 1

LCM of denominators i.e. for 274,9670 is 1324790.

Thus, GCF of Fractions is 1/1324790.Finally, GCF of Fractions for 1609/274, 3501/9670 is 1/1324790.