GCF of 7974/724, 9937/4837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7974/724, 9937/4837 i.e 1/3501988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7974/724, 9937/4837.
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 7974/724,9937/4837?
Given fractions are 7974/724,9937/4837
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 7974/724,9937/4837, numerators are 7974,9937
Denominators are 724,4837
The GCF of 7974,9937 is 1 .
LCM of 724,4837 is 3501988.
The greatest common factor of 7974/724,9937/4837 = [GCF of 7974,9937]/[LCM of 724,4837]= 1/3501988
Therefore, the GCF of 7974/724,9937/4837 is 1/3501988.
To find the highest common factor of 7974,9937, we have to find the factors of both numbers and list the highest common factor.
The factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974
The factors of 9937 are 1, 19, 523, 9937
The HCF of 7974,9937 is 1.
Lets's calculate GCF of 7974,9937
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7974,9937 By Matching Biggest Common Factor Method
Now, list down the factors of 7974
:1,2,3,6,9,18,443,886,1329,2658,3987,7974
Now, list down the factors of 9937
:1,19,523,9937
Greatest Common Factor
We found the factors 7974,9937 . The biggest common factor number is the GCF number.
So the greatest common factor 7974,9937 is 1.
Lets's calculate LCM of 724,4837
Given numbers has no common factors except 1. So, there LCM is their product i.e 3501988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3501988
Therefore, the GCF of Fractions 7974/724,9937/4837 is 1/3501988
Least Common Multiple of 724,4837 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 724,4837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4837) x common factors =1 x 1 = 1
LCM(724,4837) = ( 724 × 4837 ) / 1
LCM(724,4837) = 3501988 / 1
LCM(724,4837) = 3501988
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FAQs on GCF of Fractions of 7974/724, 9937/4837
1. What is the HCF of 7974,9937?
The HCF of 7974,9937 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 7974/724, 9937/4837?
Answer: GCF of Numerators as per given numbers 7974/724, 9937/4837 is
GCF of Numerators i.e. for 7974,9937 is 1
LCM of denominators i.e. for 724,4837 is 3501988.
Thus, GCF of Fractions is 1/3501988.Finally, GCF of Fractions for 7974/724, 9937/4837 is 1/3501988.