GCF of 3878/284, 4011/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3878/284, 4011/854 i.e 7/121268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3878/284, 4011/854.
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 3878/284,4011/854?
Given fractions are 3878/284,4011/854
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 3878/284,4011/854, numerators are 3878,4011
Denominators are 284,854
The GCF of 3878,4011 is 7 .
LCM of 284,854 is 121268.
The greatest common factor of 3878/284,4011/854 = [GCF of 3878,4011]/[LCM of 284,854]= 7/121268
Therefore, the GCF of 3878/284,4011/854 is 7/121268.
To find the highest common factor of 3878,4011, we have to find the factors of both numbers and list the highest common factor.
The factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878
The factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011
The HCF of 3878,4011 is 7.
Lets's calculate GCF of 3878,4011
| 7 | 3878, 4011 |
| 554, 573 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3878,4011 By Matching Biggest Common Factor Method
Now, list down the factors of 3878
:1,2,7,14,277,554,1939,3878
Now, list down the factors of 4011
:1,3,7,21,191,573,1337,4011
Greatest Common Factor
We found the factors 3878,4011 . The biggest common factor number is the GCF number.
So the greatest common factor 3878,4011 is 7.
Lets's calculate LCM of 284,854
| 2 | 284, 854 |
| 142, 427 |
∴ So the LCM of the given numbers is 2 x 142 x 427 = 121268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/121268
Therefore, the GCF of Fractions 3878/284,4011/854 is 7/121268
Least Common Multiple of 284,854 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 284,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,854) x common factors =2 x 1 = 2
LCM(284,854) = ( 284 × 854 ) / 2
LCM(284,854) = 242536 / 2
LCM(284,854) = 121268
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FAQs on GCF of Fractions of 3878/284, 4011/854
1. What is the HCF of 3878,4011?
The HCF of 3878,4011 is 7
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 3878/284, 4011/854?
Answer: GCF of Numerators as per given numbers 3878/284, 4011/854 is
GCF of Numerators i.e. for 3878,4011 is 7
LCM of denominators i.e. for 284,854 is 121268.
Thus, GCF of Fractions is 7/121268.Finally, GCF of Fractions for 3878/284, 4011/854 is 7/121268.