How to Find GCF of 1686/914, 7753/1745?

GCF of 1686/914, 7753/1745

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 1686/914, 7753/1745 i.e 1/1594930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1686/914, 7753/1745.

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 1686/914,7753/1745?

Given fractions are 1686/914,7753/1745

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 1686/914,7753/1745, numerators are 1686,7753

Denominators are 914,1745

The GCF of 1686,7753 is 1 .

LCM of 914,1745 is 1594930.

The greatest common factor of 1686/914,7753/1745 = [GCF of 1686,7753]/[LCM of 914,1745]= 1/1594930

Therefore, the GCF of 1686/914,7753/1745 is 1/1594930.

Greatest Common Factor of 1686,7753

To find the highest common factor of 1686,7753, we have to find the factors of both numbers and list the highest common factor.

The factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686

The factors of 7753 are 1, 7753

The HCF of 1686,7753 is 1.

Lets's calculate GCF of 1686,7753

Greatest Common Factor (GCF) of 1686,7753 By Common Division

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

Greatest Common Factor of 1686,7753 By Matching Biggest Common Factor Method

Now, list down the factors of 1686

1,2,3,6,281,562,843,1686

Now, list down the factors of 7753

1,7753

Greatest Common Factor

We found the factors 1686,7753 . The biggest common factor number is the GCF number.
So the greatest common factor 1686,7753 is 1.

Lets's calculate LCM of 914,1745

Lowest Common Multiple of 914,1745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1594930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1594930

Therefore, the GCF of Fractions 1686/914,7753/1745 is 1/1594930

Least Common Multiple of 914,1745 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 914,1745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,1745) = 1

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

GCF(914,1745) x common factors =1 x 1 = 1

LCM(914,1745) = ( 914 × 1745 ) / 1

LCM(914,1745) = 1594930 / 1

LCM(914,1745) = 1594930

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FAQs on GCF of Fractions of 1686/914, 7753/1745

1. What is the HCF of 1686,7753?

The HCF of 1686,7753 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 1686/914, 7753/1745?

Answer: GCF of Numerators as per given numbers 1686/914, 7753/1745 is

GCF of Numerators i.e. for 1686,7753 is 1

LCM of denominators i.e. for 914,1745 is 1594930.

Thus, GCF of Fractions is 1/1594930.Finally, GCF of Fractions for 1686/914, 7753/1745 is 1/1594930.