GCF of 5258/858, 7654/7671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5258/858, 7654/7671 i.e 2/2193906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5258/858, 7654/7671.
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 5258/858,7654/7671?
Given fractions are 5258/858,7654/7671
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 5258/858,7654/7671, numerators are 5258,7654
Denominators are 858,7671
The GCF of 5258,7654 is 2 .
LCM of 858,7671 is 2193906.
The greatest common factor of 5258/858,7654/7671 = [GCF of 5258,7654]/[LCM of 858,7671]= 2/2193906
Therefore, the GCF of 5258/858,7654/7671 is 2/2193906.
To find the highest common factor of 5258,7654, we have to find the factors of both numbers and list the highest common factor.
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654
The HCF of 5258,7654 is 2.
Lets's calculate GCF of 5258,7654
| 2 | 5258, 7654 |
| 2629, 3827 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5258,7654 By Matching Biggest Common Factor Method
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Now, list down the factors of 7654
:1,2,43,86,89,178,3827,7654
Greatest Common Factor
We found the factors 5258,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 5258,7654 is 2.
Lets's calculate LCM of 858,7671
| 3 | 858, 7671 |
| 286, 2557 |
∴ So the LCM of the given numbers is 3 x 286 x 2557 = 2193906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2193906
Therefore, the GCF of Fractions 5258/858,7654/7671 is 2/2193906
Least Common Multiple of 858,7671 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 858,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,7671) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(858,7671) x common factors =3 x 1 = 3
LCM(858,7671) = ( 858 × 7671 ) / 3
LCM(858,7671) = 6581718 / 3
LCM(858,7671) = 2193906
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FAQs on GCF of Fractions of 5258/858, 7654/7671
1. What is the HCF of 5258,7654?
The HCF of 5258,7654 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 5258/858, 7654/7671?
Answer: GCF of Numerators as per given numbers 5258/858, 7654/7671 is
GCF of Numerators i.e. for 5258,7654 is 2
LCM of denominators i.e. for 858,7671 is 2193906.
Thus, GCF of Fractions is 2/2193906.Finally, GCF of Fractions for 5258/858, 7654/7671 is 2/2193906.