How to Find GCF of 7027/448, 1693/7410?

GCF of 7027/448, 1693/7410

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 7027/448, 1693/7410 i.e 1/1659840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7027/448, 1693/7410.

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 7027/448,1693/7410?

Given fractions are 7027/448,1693/7410

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 7027/448,1693/7410, numerators are 7027,1693

Denominators are 448,7410

The GCF of 7027,1693 is 1 .

LCM of 448,7410 is 1659840.

The greatest common factor of 7027/448,1693/7410 = [GCF of 7027,1693]/[LCM of 448,7410]= 1/1659840

Therefore, the GCF of 7027/448,1693/7410 is 1/1659840.

Greatest Common Factor of 7027,1693

To find the highest common factor of 7027,1693, we have to find the factors of both numbers and list the highest common factor.

The factors of 7027 are 1, 7027

The factors of 1693 are 1, 1693

The HCF of 7027,1693 is 1.

Lets's calculate GCF of 7027,1693

Greatest Common Factor (GCF) of 7027,1693 By Common Division

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

Greatest Common Factor of 7027,1693 By Matching Biggest Common Factor Method

Now, list down the factors of 7027

1,7027

Now, list down the factors of 1693

1,1693

Greatest Common Factor

We found the factors 7027,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 7027,1693 is 1.

Lets's calculate LCM of 448,7410

Lowest Common Multiple of 448,7410 using Common Division

2	448, 7410
	224, 3705

∴ So the LCM of the given numbers is 2 x 224 x 3705 = 1659840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1659840

Therefore, the GCF of Fractions 7027/448,1693/7410 is 1/1659840

Least Common Multiple of 448,7410 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 448,7410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,7410) = 2

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

GCF(448,7410) x common factors =2 x 1 = 2

LCM(448,7410) = ( 448 × 7410 ) / 2

LCM(448,7410) = 3319680 / 2

LCM(448,7410) = 1659840

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FAQs on GCF of Fractions of 7027/448, 1693/7410

1. What is the HCF of 7027,1693?

The HCF of 7027,1693 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 7027/448, 1693/7410?

Answer: GCF of Numerators as per given numbers 7027/448, 1693/7410 is

GCF of Numerators i.e. for 7027,1693 is 1

LCM of denominators i.e. for 448,7410 is 1659840.

Thus, GCF of Fractions is 1/1659840.Finally, GCF of Fractions for 7027/448, 1693/7410 is 1/1659840.