GCF of 7818/382, 4622/7436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7818/382, 4622/7436 i.e 2/1420276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7818/382, 4622/7436.
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 7818/382,4622/7436?
Given fractions are 7818/382,4622/7436
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 7818/382,4622/7436, numerators are 7818,4622
Denominators are 382,7436
The GCF of 7818,4622 is 2 .
LCM of 382,7436 is 1420276.
The greatest common factor of 7818/382,4622/7436 = [GCF of 7818,4622]/[LCM of 382,7436]= 2/1420276
Therefore, the GCF of 7818/382,4622/7436 is 2/1420276.
To find the highest common factor of 7818,4622, we have to find the factors of both numbers and list the highest common factor.
The factors of 7818 are 1, 2, 3, 6, 1303, 2606, 3909, 7818
The factors of 4622 are 1, 2, 2311, 4622
The HCF of 7818,4622 is 2.
Lets's calculate GCF of 7818,4622
| 2 | 7818, 4622 |
| 3909, 2311 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7818,4622 By Matching Biggest Common Factor Method
Now, list down the factors of 7818
:1,2,3,6,1303,2606,3909,7818
Now, list down the factors of 4622
:1,2,2311,4622
Greatest Common Factor
We found the factors 7818,4622 . The biggest common factor number is the GCF number.
So the greatest common factor 7818,4622 is 2.
Lets's calculate LCM of 382,7436
| 2 | 382, 7436 |
| 191, 3718 |
∴ So the LCM of the given numbers is 2 x 191 x 3718 = 1420276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1420276
Therefore, the GCF of Fractions 7818/382,4622/7436 is 2/1420276
Least Common Multiple of 382,7436 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 382,7436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,7436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,7436) x common factors =2 x 1 = 2
LCM(382,7436) = ( 382 × 7436 ) / 2
LCM(382,7436) = 2840552 / 2
LCM(382,7436) = 1420276
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FAQs on GCF of Fractions of 7818/382, 4622/7436
1. What is the HCF of 7818,4622?
The HCF of 7818,4622 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 7818/382, 4622/7436?
Answer: GCF of Numerators as per given numbers 7818/382, 4622/7436 is
GCF of Numerators i.e. for 7818,4622 is 2
LCM of denominators i.e. for 382,7436 is 1420276.
Thus, GCF of Fractions is 2/1420276.Finally, GCF of Fractions for 7818/382, 4622/7436 is 2/1420276.