GCF of 1937/744, 5364/5800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1937/744, 5364/5800 i.e 149/539400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1937/744, 5364/5800.
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 1937/744,5364/5800?
Given fractions are 1937/744,5364/5800
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 1937/744,5364/5800, numerators are 1937,5364
Denominators are 744,5800
The GCF of 1937,5364 is 149 .
LCM of 744,5800 is 539400.
The greatest common factor of 1937/744,5364/5800 = [GCF of 1937,5364]/[LCM of 744,5800]= 149/539400
Therefore, the GCF of 1937/744,5364/5800 is 149/539400.
To find the highest common factor of 1937,5364, we have to find the factors of both numbers and list the highest common factor.
The factors of 1937 are 1, 13, 149, 1937
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The HCF of 1937,5364 is 149.
Lets's calculate GCF of 1937,5364
| 149 | 1937, 5364 |
| 13, 36 |
∴ So the GCF of the given numbers is 149 = 149
Greatest Common Factor of 1937,5364 By Matching Biggest Common Factor Method
Now, list down the factors of 1937
:1,13,149,1937
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Greatest Common Factor
We found the factors 1937,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 1937,5364 is 149.
Lets's calculate LCM of 744,5800
| 2 | 744, 5800 |
| 2 | 372, 2900 |
| 2 | 186, 1450 |
| 93, 725 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 725 = 539400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 149/539400
Therefore, the GCF of Fractions 1937/744,5364/5800 is 149/539400
Least Common Multiple of 744,5800 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 744,5800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,5800) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(744,5800) x common factors =8 x 1 = 8
LCM(744,5800) = ( 744 × 5800 ) / 8
LCM(744,5800) = 4315200 / 8
LCM(744,5800) = 539400
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FAQs on GCF of Fractions of 1937/744, 5364/5800
1. What is the HCF of 1937,5364?
The HCF of 1937,5364 is 149
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 1937/744, 5364/5800?
Answer: GCF of Numerators as per given numbers 1937/744, 5364/5800 is
GCF of Numerators i.e. for 1937,5364 is 149
LCM of denominators i.e. for 744,5800 is 539400.
Thus, GCF of Fractions is 149/539400.Finally, GCF of Fractions for 1937/744, 5364/5800 is 149/539400.