GCF of 7212/763, 4794/1676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7212/763, 4794/1676 i.e 6/1278788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7212/763, 4794/1676.
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 7212/763,4794/1676?
Given fractions are 7212/763,4794/1676
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 7212/763,4794/1676, numerators are 7212,4794
Denominators are 763,1676
The GCF of 7212,4794 is 6 .
LCM of 763,1676 is 1278788.
The greatest common factor of 7212/763,4794/1676 = [GCF of 7212,4794]/[LCM of 763,1676]= 6/1278788
Therefore, the GCF of 7212/763,4794/1676 is 6/1278788.
To find the highest common factor of 7212,4794, we have to find the factors of both numbers and list the highest common factor.
The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212
The factors of 4794 are 1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794
The HCF of 7212,4794 is 6.
Lets's calculate GCF of 7212,4794
| 2 | 7212, 4794 |
| 3 | 3606, 2397 |
| 1202, 799 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7212,4794 By Matching Biggest Common Factor Method
Now, list down the factors of 7212
:1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Now, list down the factors of 4794
:1,2,3,6,17,34,47,51,94,102,141,282,799,1598,2397,4794
Greatest Common Factor
We found the factors 7212,4794 . The biggest common factor number is the GCF number.
So the greatest common factor 7212,4794 is 6.
Lets's calculate LCM of 763,1676
Given numbers has no common factors except 1. So, there LCM is their product i.e 1278788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1278788
Therefore, the GCF of Fractions 7212/763,4794/1676 is 6/1278788
Least Common Multiple of 763,1676 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 763,1676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,1676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,1676) x common factors =1 x 1 = 1
LCM(763,1676) = ( 763 × 1676 ) / 1
LCM(763,1676) = 1278788 / 1
LCM(763,1676) = 1278788
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FAQs on GCF of Fractions of 7212/763, 4794/1676
1. What is the HCF of 7212,4794?
The HCF of 7212,4794 is 6
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 7212/763, 4794/1676?
Answer: GCF of Numerators as per given numbers 7212/763, 4794/1676 is
GCF of Numerators i.e. for 7212,4794 is 6
LCM of denominators i.e. for 763,1676 is 1278788.
Thus, GCF of Fractions is 6/1278788.Finally, GCF of Fractions for 7212/763, 4794/1676 is 6/1278788.