GCF of 1292/870, 7932/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1292/870, 7932/101 i.e 4/87870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1292/870, 7932/101.
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 1292/870,7932/101?
Given fractions are 1292/870,7932/101
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 1292/870,7932/101, numerators are 1292,7932
Denominators are 870,101
The GCF of 1292,7932 is 4 .
LCM of 870,101 is 87870.
The greatest common factor of 1292/870,7932/101 = [GCF of 1292,7932]/[LCM of 870,101]= 4/87870
Therefore, the GCF of 1292/870,7932/101 is 4/87870.
To find the highest common factor of 1292,7932, we have to find the factors of both numbers and list the highest common factor.
The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292
The factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932
The HCF of 1292,7932 is 4.
Lets's calculate GCF of 1292,7932
| 2 | 1292, 7932 |
| 2 | 646, 3966 |
| 323, 1983 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1292,7932 By Matching Biggest Common Factor Method
Now, list down the factors of 1292
:1,2,4,17,19,34,38,68,76,323,646,1292
Now, list down the factors of 7932
:1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 1292,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 1292,7932 is 4.
Lets's calculate LCM of 870,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 87870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/87870
Therefore, the GCF of Fractions 1292/870,7932/101 is 4/87870
Least Common Multiple of 870,101 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 870,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(870,101) x common factors =1 x 1 = 1
LCM(870,101) = ( 870 × 101 ) / 1
LCM(870,101) = 87870 / 1
LCM(870,101) = 87870
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FAQs on GCF of Fractions of 1292/870, 7932/101
1. What is the HCF of 1292,7932?
The HCF of 1292,7932 is 4
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 1292/870, 7932/101?
Answer: GCF of Numerators as per given numbers 1292/870, 7932/101 is
GCF of Numerators i.e. for 1292,7932 is 4
LCM of denominators i.e. for 870,101 is 87870.
Thus, GCF of Fractions is 4/87870.Finally, GCF of Fractions for 1292/870, 7932/101 is 4/87870.