GCF of 4497/662, 2774/7560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4497/662, 2774/7560 i.e 1/2502360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4497/662, 2774/7560.
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 4497/662,2774/7560?
Given fractions are 4497/662,2774/7560
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 4497/662,2774/7560, numerators are 4497,2774
Denominators are 662,7560
The GCF of 4497,2774 is 1 .
LCM of 662,7560 is 2502360.
The greatest common factor of 4497/662,2774/7560 = [GCF of 4497,2774]/[LCM of 662,7560]= 1/2502360
Therefore, the GCF of 4497/662,2774/7560 is 1/2502360.
To find the highest common factor of 4497,2774, we have to find the factors of both numbers and list the highest common factor.
The factors of 4497 are 1, 3, 1499, 4497
The factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774
The HCF of 4497,2774 is 1.
Lets's calculate GCF of 4497,2774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4497,2774 By Matching Biggest Common Factor Method
Now, list down the factors of 4497
:1,3,1499,4497
Now, list down the factors of 2774
:1,2,19,38,73,146,1387,2774
Greatest Common Factor
We found the factors 4497,2774 . The biggest common factor number is the GCF number.
So the greatest common factor 4497,2774 is 1.
Lets's calculate LCM of 662,7560
| 2 | 662, 7560 |
| 331, 3780 |
∴ So the LCM of the given numbers is 2 x 331 x 3780 = 2502360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2502360
Therefore, the GCF of Fractions 4497/662,2774/7560 is 1/2502360
Least Common Multiple of 662,7560 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 662,7560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,7560) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,7560) x common factors =2 x 1 = 2
LCM(662,7560) = ( 662 × 7560 ) / 2
LCM(662,7560) = 5004720 / 2
LCM(662,7560) = 2502360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4497/662, 2774/7560
1. What is the HCF of 4497,2774?
The HCF of 4497,2774 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 4497/662, 2774/7560?
Answer: GCF of Numerators as per given numbers 4497/662, 2774/7560 is
GCF of Numerators i.e. for 4497,2774 is 1
LCM of denominators i.e. for 662,7560 is 2502360.
Thus, GCF of Fractions is 1/2502360.Finally, GCF of Fractions for 4497/662, 2774/7560 is 1/2502360.