GCF of 752/14, 995/72, 649/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 752/14, 995/72, 649/315 i.e 1/2520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/14, 995/72, 649/315.
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 752/14,995/72,649/315?
Given fractions are 752/14,995/72,649/315
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 752/14,995/72,649/315, numerators are 752,995,649
Denominators are 14,72,315
The GCF of 752,995,649 is 1 .
LCM of 14,72,315 is 2520.
The greatest common factor of 752/14,995/72,649/315 = [GCF of 752,995,649]/[LCM of 14,72,315]= 1/2520
Therefore, the GCF of 752/14,995/72,649/315 is 1/2520.
To find the highest common factor of 752,995,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 995 are 1, 5, 199, 995
The factors of 649 are 1, 11, 59, 649
The HCF of 752,995,649 is 1.
Lets's calculate GCF of 752,995,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 752,995,649 By Matching Biggest Common Factor Method
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 752,995,649 . The biggest common factor number is the GCF number.
So the greatest common factor 752,995,649 is 1.
Lets's calculate LCM of 14,72,315
| 2 | 14, 72, 315 |
| 3 | 7, 36, 315 |
| 3 | 7, 12, 105 |
| 7 | 7, 4, 35 |
| 1, 4, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 4 x 5 = 2520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520
Therefore, the GCF of Fractions 752/14,995/72,649/315 is 1/2520
Least Common Multiple of 14,72,315 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 14,72,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,72,315) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(14,72,315) x common factors =1 x 126 = 126
LCM(14,72,315) = ( 14 × 72 × 315 ) / 126
LCM(14,72,315) = 317520 / 126
LCM(14,72,315) = 2520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 752/14, 995/72, 649/315
1. What is the HCF of 752,995,649?
The HCF of 752,995,649 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 752/14, 995/72, 649/315?
Answer: GCF of Numerators as per given numbers 752/14, 995/72, 649/315 is
GCF of Numerators i.e. for 752,995,649 is 1
LCM of denominators i.e. for 14,72,315 is 2520.
Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 752/14, 995/72, 649/315 is 1/2520.