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GCF of 1249/449, 4691/978

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 1249/449, 4691/978 i.e 1/439122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1249/449, 4691/978.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1249/449,4691/978?

Given fractions are 1249/449,4691/978

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 1249/449,4691/978, numerators are 1249,4691

Denominators are 449,978

The GCF of 1249,4691 is 1 .

LCM of 449,978 is 439122.

The greatest common factor of 1249/449,4691/978 = [GCF of 1249,4691]/[LCM of 449,978]= 1/439122

Therefore, the GCF of 1249/449,4691/978 is 1/439122.

Greatest Common Factor of 1249,4691

To find the highest common factor of 1249,4691, we have to find the factors of both numbers and list the highest common factor.

The factors of 1249 are 1, 1249

The factors of 4691 are 1, 4691

The HCF of 1249,4691 is 1.

Lets's calculate GCF of 1249,4691

Greatest Common Factor (GCF) of 1249,4691 By Common Division

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

Greatest Common Factor of 1249,4691 By Matching Biggest Common Factor Method

Greatest Common Factor of 1249,4691 By Matching Biggest Common Factor Method

Now, list down the factors of 1249

:

1,1249

Now, list down the factors of 4691

:

1,4691

Greatest Common Factor

We found the factors 1249,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 1249,4691 is 1.

Lets's calculate LCM of 449,978

Lowest Common Multiple of 449,978 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 439122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439122

Therefore, the GCF of Fractions 1249/449,4691/978 is 1/439122

Least Common Multiple of 449,978 with GCF Formula

Least Common Multiple of 449,978 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 449,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,978) = 1

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

GCF(449,978) x common factors =1 x 1 = 1

LCM(449,978) = ( 449 × 978 ) / 1

LCM(449,978) = 439122 / 1

LCM(449,978) = 439122


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1249/449, 4691/978

1. What is the HCF of 1249,4691?

The HCF of 1249,4691 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 1249/449, 4691/978?

Answer: GCF of Numerators as per given numbers 1249/449, 4691/978 is

GCF of Numerators i.e. for 1249,4691 is 1

LCM of denominators i.e. for 449,978 is 439122.

Thus, GCF of Fractions is 1/439122.Finally, GCF of Fractions for 1249/449, 4691/978 is 1/439122.