GCF of 3845/278, 4960/1527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3845/278, 4960/1527 i.e 5/424506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3845/278, 4960/1527.
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 3845/278,4960/1527?
Given fractions are 3845/278,4960/1527
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 3845/278,4960/1527, numerators are 3845,4960
Denominators are 278,1527
The GCF of 3845,4960 is 5 .
LCM of 278,1527 is 424506.
The greatest common factor of 3845/278,4960/1527 = [GCF of 3845,4960]/[LCM of 278,1527]= 5/424506
Therefore, the GCF of 3845/278,4960/1527 is 5/424506.
To find the highest common factor of 3845,4960, we have to find the factors of both numbers and list the highest common factor.
The factors of 3845 are 1, 5, 769, 3845
The factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960
The HCF of 3845,4960 is 5.
Lets's calculate GCF of 3845,4960
| 5 | 3845, 4960 |
| 769, 992 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3845,4960 By Matching Biggest Common Factor Method
Now, list down the factors of 3845
:1,5,769,3845
Now, list down the factors of 4960
:1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960
Greatest Common Factor
We found the factors 3845,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 3845,4960 is 5.
Lets's calculate LCM of 278,1527
Given numbers has no common factors except 1. So, there LCM is their product i.e 424506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/424506
Therefore, the GCF of Fractions 3845/278,4960/1527 is 5/424506
Least Common Multiple of 278,1527 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 278,1527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,1527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,1527) x common factors =1 x 1 = 1
LCM(278,1527) = ( 278 × 1527 ) / 1
LCM(278,1527) = 424506 / 1
LCM(278,1527) = 424506
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FAQs on GCF of Fractions of 3845/278, 4960/1527
1. What is the HCF of 3845,4960?
The HCF of 3845,4960 is 5
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 3845/278, 4960/1527?
Answer: GCF of Numerators as per given numbers 3845/278, 4960/1527 is
GCF of Numerators i.e. for 3845,4960 is 5
LCM of denominators i.e. for 278,1527 is 424506.
Thus, GCF of Fractions is 5/424506.Finally, GCF of Fractions for 3845/278, 4960/1527 is 5/424506.