How to Find GCF of 1234/809, 5055/8678?

GCF of 1234/809, 5055/8678

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 1234/809, 5055/8678 i.e 1/7020502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1234/809, 5055/8678.

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 1234/809,5055/8678?

Given fractions are 1234/809,5055/8678

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 1234/809,5055/8678, numerators are 1234,5055

Denominators are 809,8678

The GCF of 1234,5055 is 1 .

LCM of 809,8678 is 7020502.

The greatest common factor of 1234/809,5055/8678 = [GCF of 1234,5055]/[LCM of 809,8678]= 1/7020502

Therefore, the GCF of 1234/809,5055/8678 is 1/7020502.

Greatest Common Factor of 1234,5055

To find the highest common factor of 1234,5055, we have to find the factors of both numbers and list the highest common factor.

The factors of 1234 are 1, 2, 617, 1234

The factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055

The HCF of 1234,5055 is 1.

Lets's calculate GCF of 1234,5055

Greatest Common Factor (GCF) of 1234,5055 By Common Division

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

Greatest Common Factor of 1234,5055 By Matching Biggest Common Factor Method

Now, list down the factors of 1234

1,2,617,1234

Now, list down the factors of 5055

1,3,5,15,337,1011,1685,5055

Greatest Common Factor

We found the factors 1234,5055 . The biggest common factor number is the GCF number.
So the greatest common factor 1234,5055 is 1.

Lets's calculate LCM of 809,8678

Lowest Common Multiple of 809,8678 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7020502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7020502

Therefore, the GCF of Fractions 1234/809,5055/8678 is 1/7020502

Least Common Multiple of 809,8678 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 809,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,8678) = 1

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

GCF(809,8678) x common factors =1 x 1 = 1

LCM(809,8678) = ( 809 × 8678 ) / 1

LCM(809,8678) = 7020502 / 1

LCM(809,8678) = 7020502

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FAQs on GCF of Fractions of 1234/809, 5055/8678

1. What is the HCF of 1234,5055?

The HCF of 1234,5055 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 1234/809, 5055/8678?

Answer: GCF of Numerators as per given numbers 1234/809, 5055/8678 is

GCF of Numerators i.e. for 1234,5055 is 1

LCM of denominators i.e. for 809,8678 is 7020502.

Thus, GCF of Fractions is 1/7020502.Finally, GCF of Fractions for 1234/809, 5055/8678 is 1/7020502.