How to Find GCF of 1234/985, 4508/9563?

GCF of 1234/985, 4508/9563

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 1234/985, 4508/9563 i.e 2/9419555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1234/985, 4508/9563.

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 1234/985,4508/9563?

Given fractions are 1234/985,4508/9563

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 1234/985,4508/9563, numerators are 1234,4508

Denominators are 985,9563

The GCF of 1234,4508 is 2 .

LCM of 985,9563 is 9419555.

The greatest common factor of 1234/985,4508/9563 = [GCF of 1234,4508]/[LCM of 985,9563]= 2/9419555

Therefore, the GCF of 1234/985,4508/9563 is 2/9419555.

Greatest Common Factor of 1234,4508

To find the highest common factor of 1234,4508, 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 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508

The HCF of 1234,4508 is 2.

Lets's calculate GCF of 1234,4508

Greatest Common Factor (GCF) of 1234,4508 By Common Division

2	1234, 4508
	617, 2254

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1234,4508 By Matching Biggest Common Factor Method

Now, list down the factors of 1234

1,2,617,1234

Now, list down the factors of 4508

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors 1234,4508 . The biggest common factor number is the GCF number.
So the greatest common factor 1234,4508 is 2.

Lets's calculate LCM of 985,9563

Lowest Common Multiple of 985,9563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9419555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9419555

Therefore, the GCF of Fractions 1234/985,4508/9563 is 2/9419555

Least Common Multiple of 985,9563 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 985,9563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,9563) = 1

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

GCF(985,9563) x common factors =1 x 1 = 1

LCM(985,9563) = ( 985 × 9563 ) / 1

LCM(985,9563) = 9419555 / 1

LCM(985,9563) = 9419555

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1234/985, 4508/9563

1. What is the HCF of 1234,4508?

The HCF of 1234,4508 is 2

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 1234/985, 4508/9563?

Answer: GCF of Numerators as per given numbers 1234/985, 4508/9563 is

GCF of Numerators i.e. for 1234,4508 is 2

LCM of denominators i.e. for 985,9563 is 9419555.

Thus, GCF of Fractions is 2/9419555.Finally, GCF of Fractions for 1234/985, 4508/9563 is 2/9419555.