GCF of 7390/382, 2840/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7390/382, 2840/444 i.e 10/84804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7390/382, 2840/444.
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 7390/382,2840/444?
Given fractions are 7390/382,2840/444
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 7390/382,2840/444, numerators are 7390,2840
Denominators are 382,444
The GCF of 7390,2840 is 10 .
LCM of 382,444 is 84804.
The greatest common factor of 7390/382,2840/444 = [GCF of 7390,2840]/[LCM of 382,444]= 10/84804
Therefore, the GCF of 7390/382,2840/444 is 10/84804.
To find the highest common factor of 7390,2840, we have to find the factors of both numbers and list the highest common factor.
The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390
The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840
The HCF of 7390,2840 is 10.
Lets's calculate GCF of 7390,2840
| 2 | 7390, 2840 |
| 5 | 3695, 1420 |
| 739, 284 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7390,2840 By Matching Biggest Common Factor Method
Now, list down the factors of 7390
:1,2,5,10,739,1478,3695,7390
Now, list down the factors of 2840
:1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Greatest Common Factor
We found the factors 7390,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 7390,2840 is 10.
Lets's calculate LCM of 382,444
| 2 | 382, 444 |
| 191, 222 |
∴ So the LCM of the given numbers is 2 x 191 x 222 = 84804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/84804
Therefore, the GCF of Fractions 7390/382,2840/444 is 10/84804
Least Common Multiple of 382,444 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 382,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,444) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,444) x common factors =2 x 1 = 2
LCM(382,444) = ( 382 × 444 ) / 2
LCM(382,444) = 169608 / 2
LCM(382,444) = 84804
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FAQs on GCF of Fractions of 7390/382, 2840/444
1. What is the HCF of 7390,2840?
The HCF of 7390,2840 is 10
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 7390/382, 2840/444?
Answer: GCF of Numerators as per given numbers 7390/382, 2840/444 is
GCF of Numerators i.e. for 7390,2840 is 10
LCM of denominators i.e. for 382,444 is 84804.
Thus, GCF of Fractions is 10/84804.Finally, GCF of Fractions for 7390/382, 2840/444 is 10/84804.