GCF of 9220/771, 7670/5196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9220/771, 7670/5196 i.e 10/1335372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9220/771, 7670/5196.
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 9220/771,7670/5196?
Given fractions are 9220/771,7670/5196
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 9220/771,7670/5196, numerators are 9220,7670
Denominators are 771,5196
The GCF of 9220,7670 is 10 .
LCM of 771,5196 is 1335372.
The greatest common factor of 9220/771,7670/5196 = [GCF of 9220,7670]/[LCM of 771,5196]= 10/1335372
Therefore, the GCF of 9220/771,7670/5196 is 10/1335372.
To find the highest common factor of 9220,7670, 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 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 9220,7670 is 10.
Lets's calculate GCF of 9220,7670
| 2 | 9220, 7670 |
| 5 | 4610, 3835 |
| 922, 767 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9220,7670 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 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 9220,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,7670 is 10.
Lets's calculate LCM of 771,5196
| 3 | 771, 5196 |
| 257, 1732 |
∴ So the LCM of the given numbers is 3 x 257 x 1732 = 1335372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1335372
Therefore, the GCF of Fractions 9220/771,7670/5196 is 10/1335372
Least Common Multiple of 771,5196 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 771,5196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,5196) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,5196) x common factors =3 x 1 = 3
LCM(771,5196) = ( 771 × 5196 ) / 3
LCM(771,5196) = 4006116 / 3
LCM(771,5196) = 1335372
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FAQs on GCF of Fractions of 9220/771, 7670/5196
1. What is the HCF of 9220,7670?
The HCF of 9220,7670 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 9220/771, 7670/5196?
Answer: GCF of Numerators as per given numbers 9220/771, 7670/5196 is
GCF of Numerators i.e. for 9220,7670 is 10
LCM of denominators i.e. for 771,5196 is 1335372.
Thus, GCF of Fractions is 10/1335372.Finally, GCF of Fractions for 9220/771, 7670/5196 is 10/1335372.