GCF of 7990/925, 5196/8678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7990/925, 5196/8678 i.e 2/8027150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7990/925, 5196/8678.
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 7990/925,5196/8678?
Given fractions are 7990/925,5196/8678
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 7990/925,5196/8678, numerators are 7990,5196
Denominators are 925,8678
The GCF of 7990,5196 is 2 .
LCM of 925,8678 is 8027150.
The greatest common factor of 7990/925,5196/8678 = [GCF of 7990,5196]/[LCM of 925,8678]= 2/8027150
Therefore, the GCF of 7990/925,5196/8678 is 2/8027150.
To find the highest common factor of 7990,5196, we have to find the factors of both numbers and list the highest common factor.
The factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990
The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196
The HCF of 7990,5196 is 2.
Lets's calculate GCF of 7990,5196
| 2 | 7990, 5196 |
| 3995, 2598 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7990,5196 By Matching Biggest Common Factor Method
Now, list down the factors of 7990
:1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990
Now, list down the factors of 5196
:1,2,3,4,6,12,433,866,1299,1732,2598,5196
Greatest Common Factor
We found the factors 7990,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,5196 is 2.
Lets's calculate LCM of 925,8678
Given numbers has no common factors except 1. So, there LCM is their product i.e 8027150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8027150
Therefore, the GCF of Fractions 7990/925,5196/8678 is 2/8027150
Least Common Multiple of 925,8678 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 925,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,8678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,8678) x common factors =1 x 1 = 1
LCM(925,8678) = ( 925 × 8678 ) / 1
LCM(925,8678) = 8027150 / 1
LCM(925,8678) = 8027150
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FAQs on GCF of Fractions of 7990/925, 5196/8678
1. What is the HCF of 7990,5196?
The HCF of 7990,5196 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 7990/925, 5196/8678?
Answer: GCF of Numerators as per given numbers 7990/925, 5196/8678 is
GCF of Numerators i.e. for 7990,5196 is 2
LCM of denominators i.e. for 925,8678 is 8027150.
Thus, GCF of Fractions is 2/8027150.Finally, GCF of Fractions for 7990/925, 5196/8678 is 2/8027150.