GCF of 4281/778, 1843/9646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4281/778, 1843/9646 i.e 1/3752294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4281/778, 1843/9646.
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 4281/778,1843/9646?
Given fractions are 4281/778,1843/9646
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 4281/778,1843/9646, numerators are 4281,1843
Denominators are 778,9646
The GCF of 4281,1843 is 1 .
LCM of 778,9646 is 3752294.
The greatest common factor of 4281/778,1843/9646 = [GCF of 4281,1843]/[LCM of 778,9646]= 1/3752294
Therefore, the GCF of 4281/778,1843/9646 is 1/3752294.
To find the highest common factor of 4281,1843, we have to find the factors of both numbers and list the highest common factor.
The factors of 4281 are 1, 3, 1427, 4281
The factors of 1843 are 1, 19, 97, 1843
The HCF of 4281,1843 is 1.
Lets's calculate GCF of 4281,1843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4281,1843 By Matching Biggest Common Factor Method
Now, list down the factors of 4281
:1,3,1427,4281
Now, list down the factors of 1843
:1,19,97,1843
Greatest Common Factor
We found the factors 4281,1843 . The biggest common factor number is the GCF number.
So the greatest common factor 4281,1843 is 1.
Lets's calculate LCM of 778,9646
| 2 | 778, 9646 |
| 389, 4823 |
∴ So the LCM of the given numbers is 2 x 389 x 4823 = 3752294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3752294
Therefore, the GCF of Fractions 4281/778,1843/9646 is 1/3752294
Least Common Multiple of 778,9646 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 778,9646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,9646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,9646) x common factors =2 x 1 = 2
LCM(778,9646) = ( 778 × 9646 ) / 2
LCM(778,9646) = 7504588 / 2
LCM(778,9646) = 3752294
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FAQs on GCF of Fractions of 4281/778, 1843/9646
1. What is the HCF of 4281,1843?
The HCF of 4281,1843 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 4281/778, 1843/9646?
Answer: GCF of Numerators as per given numbers 4281/778, 1843/9646 is
GCF of Numerators i.e. for 4281,1843 is 1
LCM of denominators i.e. for 778,9646 is 3752294.
Thus, GCF of Fractions is 1/3752294.Finally, GCF of Fractions for 4281/778, 1843/9646 is 1/3752294.