GCF of 1294/932, 8268/1025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1294/932, 8268/1025 i.e 2/955300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1294/932, 8268/1025.
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 1294/932,8268/1025?
Given fractions are 1294/932,8268/1025
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 1294/932,8268/1025, numerators are 1294,8268
Denominators are 932,1025
The GCF of 1294,8268 is 2 .
LCM of 932,1025 is 955300.
The greatest common factor of 1294/932,8268/1025 = [GCF of 1294,8268]/[LCM of 932,1025]= 2/955300
Therefore, the GCF of 1294/932,8268/1025 is 2/955300.
To find the highest common factor of 1294,8268, we have to find the factors of both numbers and list the highest common factor.
The factors of 1294 are 1, 2, 647, 1294
The factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268
The HCF of 1294,8268 is 2.
Lets's calculate GCF of 1294,8268
| 2 | 1294, 8268 |
| 647, 4134 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1294,8268 By Matching Biggest Common Factor Method
Now, list down the factors of 1294
:1,2,647,1294
Now, list down the factors of 8268
:1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268
Greatest Common Factor
We found the factors 1294,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 1294,8268 is 2.
Lets's calculate LCM of 932,1025
Given numbers has no common factors except 1. So, there LCM is their product i.e 955300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/955300
Therefore, the GCF of Fractions 1294/932,8268/1025 is 2/955300
Least Common Multiple of 932,1025 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 932,1025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,1025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,1025) x common factors =1 x 1 = 1
LCM(932,1025) = ( 932 × 1025 ) / 1
LCM(932,1025) = 955300 / 1
LCM(932,1025) = 955300
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FAQs on GCF of Fractions of 1294/932, 8268/1025
1. What is the HCF of 1294,8268?
The HCF of 1294,8268 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 1294/932, 8268/1025?
Answer: GCF of Numerators as per given numbers 1294/932, 8268/1025 is
GCF of Numerators i.e. for 1294,8268 is 2
LCM of denominators i.e. for 932,1025 is 955300.
Thus, GCF of Fractions is 2/955300.Finally, GCF of Fractions for 1294/932, 8268/1025 is 2/955300.