GCF of 7992/260, 7970/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7992/260, 7970/1026 i.e 2/133380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7992/260, 7970/1026.
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 7992/260,7970/1026?
Given fractions are 7992/260,7970/1026
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 7992/260,7970/1026, numerators are 7992,7970
Denominators are 260,1026
The GCF of 7992,7970 is 2 .
LCM of 260,1026 is 133380.
The greatest common factor of 7992/260,7970/1026 = [GCF of 7992,7970]/[LCM of 260,1026]= 2/133380
Therefore, the GCF of 7992/260,7970/1026 is 2/133380.
To find the highest common factor of 7992,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 7992,7970 is 2.
Lets's calculate GCF of 7992,7970
| 2 | 7992, 7970 |
| 3996, 3985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7992,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 7992
:1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 7992,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 7992,7970 is 2.
Lets's calculate LCM of 260,1026
| 2 | 260, 1026 |
| 130, 513 |
∴ So the LCM of the given numbers is 2 x 130 x 513 = 133380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133380
Therefore, the GCF of Fractions 7992/260,7970/1026 is 2/133380
Least Common Multiple of 260,1026 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 260,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,1026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,1026) x common factors =2 x 1 = 2
LCM(260,1026) = ( 260 × 1026 ) / 2
LCM(260,1026) = 266760 / 2
LCM(260,1026) = 133380
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FAQs on GCF of Fractions of 7992/260, 7970/1026
1. What is the HCF of 7992,7970?
The HCF of 7992,7970 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 7992/260, 7970/1026?
Answer: GCF of Numerators as per given numbers 7992/260, 7970/1026 is
GCF of Numerators i.e. for 7992,7970 is 2
LCM of denominators i.e. for 260,1026 is 133380.
Thus, GCF of Fractions is 2/133380.Finally, GCF of Fractions for 7992/260, 7970/1026 is 2/133380.