GCF of 7282/442, 3777/5212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7282/442, 3777/5212 i.e 1/1151852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7282/442, 3777/5212.
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 7282/442,3777/5212?
Given fractions are 7282/442,3777/5212
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 7282/442,3777/5212, numerators are 7282,3777
Denominators are 442,5212
The GCF of 7282,3777 is 1 .
LCM of 442,5212 is 1151852.
The greatest common factor of 7282/442,3777/5212 = [GCF of 7282,3777]/[LCM of 442,5212]= 1/1151852
Therefore, the GCF of 7282/442,3777/5212 is 1/1151852.
To find the highest common factor of 7282,3777, we have to find the factors of both numbers and list the highest common factor.
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The factors of 3777 are 1, 3, 1259, 3777
The HCF of 7282,3777 is 1.
Lets's calculate GCF of 7282,3777
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7282,3777 By Matching Biggest Common Factor Method
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Now, list down the factors of 3777
:1,3,1259,3777
Greatest Common Factor
We found the factors 7282,3777 . The biggest common factor number is the GCF number.
So the greatest common factor 7282,3777 is 1.
Lets's calculate LCM of 442,5212
| 2 | 442, 5212 |
| 221, 2606 |
∴ So the LCM of the given numbers is 2 x 221 x 2606 = 1151852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1151852
Therefore, the GCF of Fractions 7282/442,3777/5212 is 1/1151852
Least Common Multiple of 442,5212 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 442,5212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,5212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,5212) x common factors =2 x 1 = 2
LCM(442,5212) = ( 442 × 5212 ) / 2
LCM(442,5212) = 2303704 / 2
LCM(442,5212) = 1151852
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FAQs on GCF of Fractions of 7282/442, 3777/5212
1. What is the HCF of 7282,3777?
The HCF of 7282,3777 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 7282/442, 3777/5212?
Answer: GCF of Numerators as per given numbers 7282/442, 3777/5212 is
GCF of Numerators i.e. for 7282,3777 is 1
LCM of denominators i.e. for 442,5212 is 1151852.
Thus, GCF of Fractions is 1/1151852.Finally, GCF of Fractions for 7282/442, 3777/5212 is 1/1151852.