How to Find GCF of 1693/907, 5424/7938?

GCF of 1693/907, 5424/7938

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 1693/907, 5424/7938 i.e 1/7199766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1693/907, 5424/7938.

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 1693/907,5424/7938?

Given fractions are 1693/907,5424/7938

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 1693/907,5424/7938, numerators are 1693,5424

Denominators are 907,7938

The GCF of 1693,5424 is 1 .

LCM of 907,7938 is 7199766.

The greatest common factor of 1693/907,5424/7938 = [GCF of 1693,5424]/[LCM of 907,7938]= 1/7199766

Therefore, the GCF of 1693/907,5424/7938 is 1/7199766.

Greatest Common Factor of 1693,5424

To find the highest common factor of 1693,5424, we have to find the factors of both numbers and list the highest common factor.

The factors of 1693 are 1, 1693

The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424

The HCF of 1693,5424 is 1.

Lets's calculate GCF of 1693,5424

Greatest Common Factor (GCF) of 1693,5424 By Common Division

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

Greatest Common Factor of 1693,5424 By Matching Biggest Common Factor Method

Now, list down the factors of 1693

1,1693

Now, list down the factors of 5424

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Greatest Common Factor

We found the factors 1693,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 1693,5424 is 1.

Lets's calculate LCM of 907,7938

Lowest Common Multiple of 907,7938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7199766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7199766

Therefore, the GCF of Fractions 1693/907,5424/7938 is 1/7199766

Least Common Multiple of 907,7938 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 907,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,7938) = 1

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

GCF(907,7938) x common factors =1 x 1 = 1

LCM(907,7938) = ( 907 × 7938 ) / 1

LCM(907,7938) = 7199766 / 1

LCM(907,7938) = 7199766

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FAQs on GCF of Fractions of 1693/907, 5424/7938

1. What is the HCF of 1693,5424?

The HCF of 1693,5424 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 1693/907, 5424/7938?

Answer: GCF of Numerators as per given numbers 1693/907, 5424/7938 is

GCF of Numerators i.e. for 1693,5424 is 1

LCM of denominators i.e. for 907,7938 is 7199766.

Thus, GCF of Fractions is 1/7199766.Finally, GCF of Fractions for 1693/907, 5424/7938 is 1/7199766.