GCF of 4280/376, 9274/5043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4280/376, 9274/5043 i.e 2/1896168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4280/376, 9274/5043.
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 4280/376,9274/5043?
Given fractions are 4280/376,9274/5043
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 4280/376,9274/5043, numerators are 4280,9274
Denominators are 376,5043
The GCF of 4280,9274 is 2 .
LCM of 376,5043 is 1896168.
The greatest common factor of 4280/376,9274/5043 = [GCF of 4280,9274]/[LCM of 376,5043]= 2/1896168
Therefore, the GCF of 4280/376,9274/5043 is 2/1896168.
To find the highest common factor of 4280,9274, we have to find the factors of both numbers and list the highest common factor.
The factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280
The factors of 9274 are 1, 2, 4637, 9274
The HCF of 4280,9274 is 2.
Lets's calculate GCF of 4280,9274
| 2 | 4280, 9274 |
| 2140, 4637 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4280,9274 By Matching Biggest Common Factor Method
Now, list down the factors of 4280
:1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280
Now, list down the factors of 9274
:1,2,4637,9274
Greatest Common Factor
We found the factors 4280,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 4280,9274 is 2.
Lets's calculate LCM of 376,5043
Given numbers has no common factors except 1. So, there LCM is their product i.e 1896168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1896168
Therefore, the GCF of Fractions 4280/376,9274/5043 is 2/1896168
Least Common Multiple of 376,5043 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 376,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,5043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,5043) x common factors =1 x 1 = 1
LCM(376,5043) = ( 376 × 5043 ) / 1
LCM(376,5043) = 1896168 / 1
LCM(376,5043) = 1896168
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FAQs on GCF of Fractions of 4280/376, 9274/5043
1. What is the HCF of 4280,9274?
The HCF of 4280,9274 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 4280/376, 9274/5043?
Answer: GCF of Numerators as per given numbers 4280/376, 9274/5043 is
GCF of Numerators i.e. for 4280,9274 is 2
LCM of denominators i.e. for 376,5043 is 1896168.
Thus, GCF of Fractions is 2/1896168.Finally, GCF of Fractions for 4280/376, 9274/5043 is 2/1896168.