GCF of 5146/708, 7855/5434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5146/708, 7855/5434 i.e 1/1923636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5146/708, 7855/5434.
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 5146/708,7855/5434?
Given fractions are 5146/708,7855/5434
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 5146/708,7855/5434, numerators are 5146,7855
Denominators are 708,5434
The GCF of 5146,7855 is 1 .
LCM of 708,5434 is 1923636.
The greatest common factor of 5146/708,7855/5434 = [GCF of 5146,7855]/[LCM of 708,5434]= 1/1923636
Therefore, the GCF of 5146/708,7855/5434 is 1/1923636.
To find the highest common factor of 5146,7855, we have to find the factors of both numbers and list the highest common factor.
The factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146
The factors of 7855 are 1, 5, 1571, 7855
The HCF of 5146,7855 is 1.
Lets's calculate GCF of 5146,7855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5146,7855 By Matching Biggest Common Factor Method
Now, list down the factors of 5146
:1,2,31,62,83,166,2573,5146
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 5146,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 5146,7855 is 1.
Lets's calculate LCM of 708,5434
| 2 | 708, 5434 |
| 354, 2717 |
∴ So the LCM of the given numbers is 2 x 354 x 2717 = 1923636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1923636
Therefore, the GCF of Fractions 5146/708,7855/5434 is 1/1923636
Least Common Multiple of 708,5434 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 708,5434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,5434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,5434) x common factors =2 x 1 = 2
LCM(708,5434) = ( 708 × 5434 ) / 2
LCM(708,5434) = 3847272 / 2
LCM(708,5434) = 1923636
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FAQs on GCF of Fractions of 5146/708, 7855/5434
1. What is the HCF of 5146,7855?
The HCF of 5146,7855 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 5146/708, 7855/5434?
Answer: GCF of Numerators as per given numbers 5146/708, 7855/5434 is
GCF of Numerators i.e. for 5146,7855 is 1
LCM of denominators i.e. for 708,5434 is 1923636.
Thus, GCF of Fractions is 1/1923636.Finally, GCF of Fractions for 5146/708, 7855/5434 is 1/1923636.