GCF of 5875/249, 1995/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5875/249, 1995/762 i.e 5/63246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5875/249, 1995/762.
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 5875/249,1995/762?
Given fractions are 5875/249,1995/762
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 5875/249,1995/762, numerators are 5875,1995
Denominators are 249,762
The GCF of 5875,1995 is 5 .
LCM of 249,762 is 63246.
The greatest common factor of 5875/249,1995/762 = [GCF of 5875,1995]/[LCM of 249,762]= 5/63246
Therefore, the GCF of 5875/249,1995/762 is 5/63246.
To find the highest common factor of 5875,1995, we have to find the factors of both numbers and list the highest common factor.
The factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875
The factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
The HCF of 5875,1995 is 5.
Lets's calculate GCF of 5875,1995
| 5 | 5875, 1995 |
| 1175, 399 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5875,1995 By Matching Biggest Common Factor Method
Now, list down the factors of 5875
:1,5,25,47,125,235,1175,5875
Now, list down the factors of 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
Greatest Common Factor
We found the factors 5875,1995 . The biggest common factor number is the GCF number.
So the greatest common factor 5875,1995 is 5.
Lets's calculate LCM of 249,762
| 3 | 249, 762 |
| 83, 254 |
∴ So the LCM of the given numbers is 3 x 83 x 254 = 63246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/63246
Therefore, the GCF of Fractions 5875/249,1995/762 is 5/63246
Least Common Multiple of 249,762 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 249,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,762) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,762) x common factors =3 x 1 = 3
LCM(249,762) = ( 249 × 762 ) / 3
LCM(249,762) = 189738 / 3
LCM(249,762) = 63246
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FAQs on GCF of Fractions of 5875/249, 1995/762
1. What is the HCF of 5875,1995?
The HCF of 5875,1995 is 5
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 5875/249, 1995/762?
Answer: GCF of Numerators as per given numbers 5875/249, 1995/762 is
GCF of Numerators i.e. for 5875,1995 is 5
LCM of denominators i.e. for 249,762 is 63246.
Thus, GCF of Fractions is 5/63246.Finally, GCF of Fractions for 5875/249, 1995/762 is 5/63246.