GCF of 9920/265, 7618/4611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9920/265, 7618/4611 i.e 2/23055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9920/265, 7618/4611.
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 9920/265,7618/4611?
Given fractions are 9920/265,7618/4611
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 9920/265,7618/4611, numerators are 9920,7618
Denominators are 265,4611
The GCF of 9920,7618 is 2 .
LCM of 265,4611 is 23055.
The greatest common factor of 9920/265,7618/4611 = [GCF of 9920,7618]/[LCM of 265,4611]= 2/23055
Therefore, the GCF of 9920/265,7618/4611 is 2/23055.
To find the highest common factor of 9920,7618, we have to find the factors of both numbers and list the highest common factor.
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920
The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618
The HCF of 9920,7618 is 2.
Lets's calculate GCF of 9920,7618
| 2 | 9920, 7618 |
| 4960, 3809 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9920,7618 By Matching Biggest Common Factor Method
Now, list down the factors of 9920
:1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Now, list down the factors of 7618
:1,2,13,26,293,586,3809,7618
Greatest Common Factor
We found the factors 9920,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,7618 is 2.
Lets's calculate LCM of 265,4611
| 53 | 265, 4611 |
| 5, 87 |
∴ So the LCM of the given numbers is 53 x 5 x 87 = 23055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23055
Therefore, the GCF of Fractions 9920/265,7618/4611 is 2/23055
Least Common Multiple of 265,4611 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 265,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,4611) = 53
common factors(in case of two or more numbers have common factors) = 1
GCF(265,4611) x common factors =53 x 1 = 53
LCM(265,4611) = ( 265 × 4611 ) / 53
LCM(265,4611) = 1221915 / 53
LCM(265,4611) = 23055
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FAQs on GCF of Fractions of 9920/265, 7618/4611
1. What is the HCF of 9920,7618?
The HCF of 9920,7618 is 2
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 9920/265, 7618/4611?
Answer: GCF of Numerators as per given numbers 9920/265, 7618/4611 is
GCF of Numerators i.e. for 9920,7618 is 2
LCM of denominators i.e. for 265,4611 is 23055.
Thus, GCF of Fractions is 2/23055.Finally, GCF of Fractions for 9920/265, 7618/4611 is 2/23055.