GCF of 7421/278, 2624/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7421/278, 2624/294 i.e 41/40866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/278, 2624/294.
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 7421/278,2624/294?
Given fractions are 7421/278,2624/294
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 7421/278,2624/294, numerators are 7421,2624
Denominators are 278,294
The GCF of 7421,2624 is 41 .
LCM of 278,294 is 40866.
The greatest common factor of 7421/278,2624/294 = [GCF of 7421,2624]/[LCM of 278,294]= 41/40866
Therefore, the GCF of 7421/278,2624/294 is 41/40866.
To find the highest common factor of 7421,2624, we have to find the factors of both numbers and list the highest common factor.
The factors of 7421 are 1, 41, 181, 7421
The factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624
The HCF of 7421,2624 is 41.
Lets's calculate GCF of 7421,2624
| 41 | 7421, 2624 |
| 181, 64 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 7421,2624 By Matching Biggest Common Factor Method
Now, list down the factors of 7421
:1,41,181,7421
Now, list down the factors of 2624
:1,2,4,8,16,32,41,64,82,164,328,656,1312,2624
Greatest Common Factor
We found the factors 7421,2624 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,2624 is 41.
Lets's calculate LCM of 278,294
| 2 | 278, 294 |
| 139, 147 |
∴ So the LCM of the given numbers is 2 x 139 x 147 = 40866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/40866
Therefore, the GCF of Fractions 7421/278,2624/294 is 41/40866
Least Common Multiple of 278,294 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 278,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,294) x common factors =2 x 1 = 2
LCM(278,294) = ( 278 × 294 ) / 2
LCM(278,294) = 81732 / 2
LCM(278,294) = 40866
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FAQs on GCF of Fractions of 7421/278, 2624/294
1. What is the HCF of 7421,2624?
The HCF of 7421,2624 is 41
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 7421/278, 2624/294?
Answer: GCF of Numerators as per given numbers 7421/278, 2624/294 is
GCF of Numerators i.e. for 7421,2624 is 41
LCM of denominators i.e. for 278,294 is 40866.
Thus, GCF of Fractions is 41/40866.Finally, GCF of Fractions for 7421/278, 2624/294 is 41/40866.