GCF of 9220/714, 5860/6426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9220/714, 5860/6426 i.e 20/6426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9220/714, 5860/6426.
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 9220/714,5860/6426?
Given fractions are 9220/714,5860/6426
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 9220/714,5860/6426, numerators are 9220,5860
Denominators are 714,6426
The GCF of 9220,5860 is 20 .
LCM of 714,6426 is 6426.
The greatest common factor of 9220/714,5860/6426 = [GCF of 9220,5860]/[LCM of 714,6426]= 20/6426
Therefore, the GCF of 9220/714,5860/6426 is 20/6426.
To find the highest common factor of 9220,5860, we have to find the factors of both numbers and list the highest common factor.
The factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220
The factors of 5860 are 1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860
The HCF of 9220,5860 is 20.
Lets's calculate GCF of 9220,5860
| 2 | 9220, 5860 |
| 2 | 4610, 2930 |
| 5 | 2305, 1465 |
| 461, 293 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9220,5860 By Matching Biggest Common Factor Method
Now, list down the factors of 9220
:1,2,4,5,10,20,461,922,1844,2305,4610,9220
Now, list down the factors of 5860
:1,2,4,5,10,20,293,586,1172,1465,2930,5860
Greatest Common Factor
We found the factors 9220,5860 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,5860 is 20.
Lets's calculate LCM of 714,6426
| 2 | 714, 6426 |
| 3 | 357, 3213 |
| 7 | 119, 1071 |
| 17 | 17, 153 |
| 1, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 1 x 9 = 6426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/6426
Therefore, the GCF of Fractions 9220/714,5860/6426 is 20/6426
Least Common Multiple of 714,6426 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 714,6426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,6426) = 714
common factors(in case of two or more numbers have common factors) = 1
GCF(714,6426) x common factors =714 x 1 = 714
LCM(714,6426) = ( 714 × 6426 ) / 714
LCM(714,6426) = 4588164 / 714
LCM(714,6426) = 6426
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FAQs on GCF of Fractions of 9220/714, 5860/6426
1. What is the HCF of 9220,5860?
The HCF of 9220,5860 is 20
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 9220/714, 5860/6426?
Answer: GCF of Numerators as per given numbers 9220/714, 5860/6426 is
GCF of Numerators i.e. for 9220,5860 is 20
LCM of denominators i.e. for 714,6426 is 6426.
Thus, GCF of Fractions is 20/6426.Finally, GCF of Fractions for 9220/714, 5860/6426 is 20/6426.