GCF of 7880/305, 9322/5315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7880/305, 9322/5315 i.e 2/324215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7880/305, 9322/5315.
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 7880/305,9322/5315?
Given fractions are 7880/305,9322/5315
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 7880/305,9322/5315, numerators are 7880,9322
Denominators are 305,5315
The GCF of 7880,9322 is 2 .
LCM of 305,5315 is 324215.
The greatest common factor of 7880/305,9322/5315 = [GCF of 7880,9322]/[LCM of 305,5315]= 2/324215
Therefore, the GCF of 7880/305,9322/5315 is 2/324215.
To find the highest common factor of 7880,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 7880 are 1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 7880,9322 is 2.
Lets's calculate GCF of 7880,9322
| 2 | 7880, 9322 |
| 3940, 4661 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7880,9322 By Matching Biggest Common Factor Method
Now, list down the factors of 7880
:1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 7880,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 7880,9322 is 2.
Lets's calculate LCM of 305,5315
| 5 | 305, 5315 |
| 61, 1063 |
∴ So the LCM of the given numbers is 5 x 61 x 1063 = 324215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324215
Therefore, the GCF of Fractions 7880/305,9322/5315 is 2/324215
Least Common Multiple of 305,5315 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 305,5315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,5315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,5315) x common factors =5 x 1 = 5
LCM(305,5315) = ( 305 × 5315 ) / 5
LCM(305,5315) = 1621075 / 5
LCM(305,5315) = 324215
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FAQs on GCF of Fractions of 7880/305, 9322/5315
1. What is the HCF of 7880,9322?
The HCF of 7880,9322 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 7880/305, 9322/5315?
Answer: GCF of Numerators as per given numbers 7880/305, 9322/5315 is
GCF of Numerators i.e. for 7880,9322 is 2
LCM of denominators i.e. for 305,5315 is 324215.
Thus, GCF of Fractions is 2/324215.Finally, GCF of Fractions for 7880/305, 9322/5315 is 2/324215.