How to Find GCF of 1607/469, 7894/4734?

GCF of 1607/469, 7894/4734

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 1607/469, 7894/4734 i.e 1/2220246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1607/469, 7894/4734.

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 1607/469,7894/4734?

Given fractions are 1607/469,7894/4734

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 1607/469,7894/4734, numerators are 1607,7894

Denominators are 469,4734

The GCF of 1607,7894 is 1 .

LCM of 469,4734 is 2220246.

The greatest common factor of 1607/469,7894/4734 = [GCF of 1607,7894]/[LCM of 469,4734]= 1/2220246

Therefore, the GCF of 1607/469,7894/4734 is 1/2220246.

Greatest Common Factor of 1607,7894

To find the highest common factor of 1607,7894, we have to find the factors of both numbers and list the highest common factor.

The factors of 1607 are 1, 1607

The factors of 7894 are 1, 2, 3947, 7894

The HCF of 1607,7894 is 1.

Lets's calculate GCF of 1607,7894

Greatest Common Factor (GCF) of 1607,7894 By Common Division

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

Greatest Common Factor of 1607,7894 By Matching Biggest Common Factor Method

Now, list down the factors of 1607

1,1607

Now, list down the factors of 7894

1,2,3947,7894

Greatest Common Factor

We found the factors 1607,7894 . The biggest common factor number is the GCF number.
So the greatest common factor 1607,7894 is 1.

Lets's calculate LCM of 469,4734

Lowest Common Multiple of 469,4734 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2220246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2220246

Therefore, the GCF of Fractions 1607/469,7894/4734 is 1/2220246

Least Common Multiple of 469,4734 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 469,4734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,4734) = 1

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

GCF(469,4734) x common factors =1 x 1 = 1

LCM(469,4734) = ( 469 × 4734 ) / 1

LCM(469,4734) = 2220246 / 1

LCM(469,4734) = 2220246

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FAQs on GCF of Fractions of 1607/469, 7894/4734

1. What is the HCF of 1607,7894?

The HCF of 1607,7894 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 1607/469, 7894/4734?

Answer: GCF of Numerators as per given numbers 1607/469, 7894/4734 is

GCF of Numerators i.e. for 1607,7894 is 1

LCM of denominators i.e. for 469,4734 is 2220246.

Thus, GCF of Fractions is 1/2220246.Finally, GCF of Fractions for 1607/469, 7894/4734 is 1/2220246.