GCF of 7372/719, 8544/1457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7372/719, 8544/1457 i.e 4/1047583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7372/719, 8544/1457.
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 7372/719,8544/1457?
Given fractions are 7372/719,8544/1457
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 7372/719,8544/1457, numerators are 7372,8544
Denominators are 719,1457
The GCF of 7372,8544 is 4 .
LCM of 719,1457 is 1047583.
The greatest common factor of 7372/719,8544/1457 = [GCF of 7372,8544]/[LCM of 719,1457]= 4/1047583
Therefore, the GCF of 7372/719,8544/1457 is 4/1047583.
To find the highest common factor of 7372,8544, we have to find the factors of both numbers and list the highest common factor.
The factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The HCF of 7372,8544 is 4.
Lets's calculate GCF of 7372,8544
| 2 | 7372, 8544 |
| 2 | 3686, 4272 |
| 1843, 2136 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7372,8544 By Matching Biggest Common Factor Method
Now, list down the factors of 7372
:1,2,4,19,38,76,97,194,388,1843,3686,7372
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 7372,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,8544 is 4.
Lets's calculate LCM of 719,1457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1047583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1047583
Therefore, the GCF of Fractions 7372/719,8544/1457 is 4/1047583
Least Common Multiple of 719,1457 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 719,1457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,1457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,1457) x common factors =1 x 1 = 1
LCM(719,1457) = ( 719 × 1457 ) / 1
LCM(719,1457) = 1047583 / 1
LCM(719,1457) = 1047583
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7372/719, 8544/1457
1. What is the HCF of 7372,8544?
The HCF of 7372,8544 is 4
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 7372/719, 8544/1457?
Answer: GCF of Numerators as per given numbers 7372/719, 8544/1457 is
GCF of Numerators i.e. for 7372,8544 is 4
LCM of denominators i.e. for 719,1457 is 1047583.
Thus, GCF of Fractions is 4/1047583.Finally, GCF of Fractions for 7372/719, 8544/1457 is 4/1047583.