GCF of 5150/842, 9220/7954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5150/842, 9220/7954 i.e 10/3348634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5150/842, 9220/7954.
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 5150/842,9220/7954?
Given fractions are 5150/842,9220/7954
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 5150/842,9220/7954, numerators are 5150,9220
Denominators are 842,7954
The GCF of 5150,9220 is 10 .
LCM of 842,7954 is 3348634.
The greatest common factor of 5150/842,9220/7954 = [GCF of 5150,9220]/[LCM of 842,7954]= 10/3348634
Therefore, the GCF of 5150/842,9220/7954 is 10/3348634.
To find the highest common factor of 5150,9220, we have to find the factors of both numbers and list the highest common factor.
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220
The HCF of 5150,9220 is 10.
Lets's calculate GCF of 5150,9220
| 2 | 5150, 9220 |
| 5 | 2575, 4610 |
| 515, 922 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5150,9220 By Matching Biggest Common Factor Method
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Now, list down the factors of 9220
:1,2,4,5,10,20,461,922,1844,2305,4610,9220
Greatest Common Factor
We found the factors 5150,9220 . The biggest common factor number is the GCF number.
So the greatest common factor 5150,9220 is 10.
Lets's calculate LCM of 842,7954
| 2 | 842, 7954 |
| 421, 3977 |
∴ So the LCM of the given numbers is 2 x 421 x 3977 = 3348634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3348634
Therefore, the GCF of Fractions 5150/842,9220/7954 is 10/3348634
Least Common Multiple of 842,7954 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 842,7954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,7954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,7954) x common factors =2 x 1 = 2
LCM(842,7954) = ( 842 × 7954 ) / 2
LCM(842,7954) = 6697268 / 2
LCM(842,7954) = 3348634
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FAQs on GCF of Fractions of 5150/842, 9220/7954
1. What is the HCF of 5150,9220?
The HCF of 5150,9220 is 10
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 5150/842, 9220/7954?
Answer: GCF of Numerators as per given numbers 5150/842, 9220/7954 is
GCF of Numerators i.e. for 5150,9220 is 10
LCM of denominators i.e. for 842,7954 is 3348634.
Thus, GCF of Fractions is 10/3348634.Finally, GCF of Fractions for 5150/842, 9220/7954 is 10/3348634.