GCF of 1501/434, 1278/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1501/434, 1278/134 i.e 1/29078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1501/434, 1278/134.
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 1501/434,1278/134?
Given fractions are 1501/434,1278/134
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 1501/434,1278/134, numerators are 1501,1278
Denominators are 434,134
The GCF of 1501,1278 is 1 .
LCM of 434,134 is 29078.
The greatest common factor of 1501/434,1278/134 = [GCF of 1501,1278]/[LCM of 434,134]= 1/29078
Therefore, the GCF of 1501/434,1278/134 is 1/29078.
To find the highest common factor of 1501,1278, we have to find the factors of both numbers and list the highest common factor.
The factors of 1501 are 1, 19, 79, 1501
The factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278
The HCF of 1501,1278 is 1.
Lets's calculate GCF of 1501,1278
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1501,1278 By Matching Biggest Common Factor Method
Now, list down the factors of 1501
:1,19,79,1501
Now, list down the factors of 1278
:1,2,3,6,9,18,71,142,213,426,639,1278
Greatest Common Factor
We found the factors 1501,1278 . The biggest common factor number is the GCF number.
So the greatest common factor 1501,1278 is 1.
Lets's calculate LCM of 434,134
| 2 | 434, 134 |
| 217, 67 |
∴ So the LCM of the given numbers is 2 x 217 x 67 = 29078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29078
Therefore, the GCF of Fractions 1501/434,1278/134 is 1/29078
Least Common Multiple of 434,134 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 434,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,134) x common factors =2 x 1 = 2
LCM(434,134) = ( 434 × 134 ) / 2
LCM(434,134) = 58156 / 2
LCM(434,134) = 29078
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FAQs on GCF of Fractions of 1501/434, 1278/134
1. What is the HCF of 1501,1278?
The HCF of 1501,1278 is 1
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 1501/434, 1278/134?
Answer: GCF of Numerators as per given numbers 1501/434, 1278/134 is
GCF of Numerators i.e. for 1501,1278 is 1
LCM of denominators i.e. for 434,134 is 29078.
Thus, GCF of Fractions is 1/29078.Finally, GCF of Fractions for 1501/434, 1278/134 is 1/29078.