GCF of 572/312, 1457/7680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 572/312, 1457/7680 i.e 1/99840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/312, 1457/7680.
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 572/312,1457/7680?
Given fractions are 572/312,1457/7680
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 572/312,1457/7680, numerators are 572,1457
Denominators are 312,7680
The GCF of 572,1457 is 1 .
LCM of 312,7680 is 99840.
The greatest common factor of 572/312,1457/7680 = [GCF of 572,1457]/[LCM of 312,7680]= 1/99840
Therefore, the GCF of 572/312,1457/7680 is 1/99840.
To find the highest common factor of 572,1457, we have to find the factors of both numbers and list the highest common factor.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The factors of 1457 are 1, 31, 47, 1457
The HCF of 572,1457 is 1.
Lets's calculate GCF of 572,1457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 572,1457 By Matching Biggest Common Factor Method
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Now, list down the factors of 1457
:1,31,47,1457
Greatest Common Factor
We found the factors 572,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 572,1457 is 1.
Lets's calculate LCM of 312,7680
| 2 | 312, 7680 |
| 2 | 156, 3840 |
| 2 | 78, 1920 |
| 3 | 39, 960 |
| 13, 320 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 320 = 99840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99840
Therefore, the GCF of Fractions 572/312,1457/7680 is 1/99840
Least Common Multiple of 312,7680 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 312,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,7680) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(312,7680) x common factors =24 x 1 = 24
LCM(312,7680) = ( 312 × 7680 ) / 24
LCM(312,7680) = 2396160 / 24
LCM(312,7680) = 99840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 572/312, 1457/7680
1. What is the HCF of 572,1457?
The HCF of 572,1457 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 572/312, 1457/7680?
Answer: GCF of Numerators as per given numbers 572/312, 1457/7680 is
GCF of Numerators i.e. for 572,1457 is 1
LCM of denominators i.e. for 312,7680 is 99840.
Thus, GCF of Fractions is 1/99840.Finally, GCF of Fractions for 572/312, 1457/7680 is 1/99840.