How to Find GCF of 7408/789, 1033/4861?

GCF of 7408/789, 1033/4861

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 7408/789, 1033/4861 i.e 1/3835329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7408/789, 1033/4861.

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 7408/789,1033/4861?

Given fractions are 7408/789,1033/4861

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 7408/789,1033/4861, numerators are 7408,1033

Denominators are 789,4861

The GCF of 7408,1033 is 1 .

LCM of 789,4861 is 3835329.

The greatest common factor of 7408/789,1033/4861 = [GCF of 7408,1033]/[LCM of 789,4861]= 1/3835329

Therefore, the GCF of 7408/789,1033/4861 is 1/3835329.

Greatest Common Factor of 7408,1033

To find the highest common factor of 7408,1033, we have to find the factors of both numbers and list the highest common factor.

The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408

The factors of 1033 are 1, 1033

The HCF of 7408,1033 is 1.

Lets's calculate GCF of 7408,1033

Greatest Common Factor (GCF) of 7408,1033 By Common Division

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

Greatest Common Factor of 7408,1033 By Matching Biggest Common Factor Method

Now, list down the factors of 7408

1,2,4,8,16,463,926,1852,3704,7408

Now, list down the factors of 1033

1,1033

Greatest Common Factor

We found the factors 7408,1033 . The biggest common factor number is the GCF number.
So the greatest common factor 7408,1033 is 1.

Lets's calculate LCM of 789,4861

Lowest Common Multiple of 789,4861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3835329

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3835329

Therefore, the GCF of Fractions 7408/789,1033/4861 is 1/3835329

Least Common Multiple of 789,4861 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 789,4861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,4861) = 1

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

GCF(789,4861) x common factors =1 x 1 = 1

LCM(789,4861) = ( 789 × 4861 ) / 1

LCM(789,4861) = 3835329 / 1

LCM(789,4861) = 3835329

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7408/789, 1033/4861

1. What is the HCF of 7408,1033?

The HCF of 7408,1033 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 7408/789, 1033/4861?

Answer: GCF of Numerators as per given numbers 7408/789, 1033/4861 is

GCF of Numerators i.e. for 7408,1033 is 1

LCM of denominators i.e. for 789,4861 is 3835329.

Thus, GCF of Fractions is 1/3835329.Finally, GCF of Fractions for 7408/789, 1033/4861 is 1/3835329.