How to Find GCF of 1703/353, 7449/6975?

GCF of 1703/353, 7449/6975

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 1703/353, 7449/6975 i.e 13/2462175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1703/353, 7449/6975.

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 1703/353,7449/6975?

Given fractions are 1703/353,7449/6975

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 1703/353,7449/6975, numerators are 1703,7449

Denominators are 353,6975

The GCF of 1703,7449 is 13 .

LCM of 353,6975 is 2462175.

The greatest common factor of 1703/353,7449/6975 = [GCF of 1703,7449]/[LCM of 353,6975]= 13/2462175

Therefore, the GCF of 1703/353,7449/6975 is 13/2462175.

Greatest Common Factor of 1703,7449

To find the highest common factor of 1703,7449, we have to find the factors of both numbers and list the highest common factor.

The factors of 1703 are 1, 13, 131, 1703

The factors of 7449 are 1, 3, 13, 39, 191, 573, 2483, 7449

The HCF of 1703,7449 is 13.

Lets's calculate GCF of 1703,7449

Greatest Common Factor (GCF) of 1703,7449 By Common Division

13	1703, 7449
	131, 573

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1703,7449 By Matching Biggest Common Factor Method

Now, list down the factors of 1703

1,13,131,1703

Now, list down the factors of 7449

1,3,13,39,191,573,2483,7449

Greatest Common Factor

We found the factors 1703,7449 . The biggest common factor number is the GCF number.
So the greatest common factor 1703,7449 is 13.

Lets's calculate LCM of 353,6975

Lowest Common Multiple of 353,6975 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2462175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2462175

Therefore, the GCF of Fractions 1703/353,7449/6975 is 13/2462175

Least Common Multiple of 353,6975 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 353,6975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,6975) = 1

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

GCF(353,6975) x common factors =1 x 1 = 1

LCM(353,6975) = ( 353 × 6975 ) / 1

LCM(353,6975) = 2462175 / 1

LCM(353,6975) = 2462175

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FAQs on GCF of Fractions of 1703/353, 7449/6975

1. What is the HCF of 1703,7449?

The HCF of 1703,7449 is 13

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 1703/353, 7449/6975?

Answer: GCF of Numerators as per given numbers 1703/353, 7449/6975 is

GCF of Numerators i.e. for 1703,7449 is 13

LCM of denominators i.e. for 353,6975 is 2462175.

Thus, GCF of Fractions is 13/2462175.Finally, GCF of Fractions for 1703/353, 7449/6975 is 13/2462175.