GCF of 7113/620, 4564/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7113/620, 4564/248 i.e 1/1240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7113/620, 4564/248.
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 7113/620,4564/248?
Given fractions are 7113/620,4564/248
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 7113/620,4564/248, numerators are 7113,4564
Denominators are 620,248
The GCF of 7113,4564 is 1 .
LCM of 620,248 is 1240.
The greatest common factor of 7113/620,4564/248 = [GCF of 7113,4564]/[LCM of 620,248]= 1/1240
Therefore, the GCF of 7113/620,4564/248 is 1/1240.
To find the highest common factor of 7113,4564, we have to find the factors of both numbers and list the highest common factor.
The factors of 7113 are 1, 3, 2371, 7113
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The HCF of 7113,4564 is 1.
Lets's calculate GCF of 7113,4564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7113,4564 By Matching Biggest Common Factor Method
Now, list down the factors of 7113
:1,3,2371,7113
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Greatest Common Factor
We found the factors 7113,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 7113,4564 is 1.
Lets's calculate LCM of 620,248
| 2 | 620, 248 |
| 2 | 310, 124 |
| 31 | 155, 62 |
| 5, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 5 x 2 = 1240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1240
Therefore, the GCF of Fractions 7113/620,4564/248 is 1/1240
Least Common Multiple of 620,248 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 620,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,248) = 124
common factors(in case of two or more numbers have common factors) = 1
GCF(620,248) x common factors =124 x 1 = 124
LCM(620,248) = ( 620 × 248 ) / 124
LCM(620,248) = 153760 / 124
LCM(620,248) = 1240
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FAQs on GCF of Fractions of 7113/620, 4564/248
1. What is the HCF of 7113,4564?
The HCF of 7113,4564 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 7113/620, 4564/248?
Answer: GCF of Numerators as per given numbers 7113/620, 4564/248 is
GCF of Numerators i.e. for 7113,4564 is 1
LCM of denominators i.e. for 620,248 is 1240.
Thus, GCF of Fractions is 1/1240.Finally, GCF of Fractions for 7113/620, 4564/248 is 1/1240.