GCF of 4808/148, 5951/3888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4808/148, 5951/3888 i.e 1/143856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4808/148, 5951/3888.
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 4808/148,5951/3888?
Given fractions are 4808/148,5951/3888
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 4808/148,5951/3888, numerators are 4808,5951
Denominators are 148,3888
The GCF of 4808,5951 is 1 .
LCM of 148,3888 is 143856.
The greatest common factor of 4808/148,5951/3888 = [GCF of 4808,5951]/[LCM of 148,3888]= 1/143856
Therefore, the GCF of 4808/148,5951/3888 is 1/143856.
To find the highest common factor of 4808,5951, we have to find the factors of both numbers and list the highest common factor.
The factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808
The factors of 5951 are 1, 11, 541, 5951
The HCF of 4808,5951 is 1.
Lets's calculate GCF of 4808,5951
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4808,5951 By Matching Biggest Common Factor Method
Now, list down the factors of 4808
:1,2,4,8,601,1202,2404,4808
Now, list down the factors of 5951
:1,11,541,5951
Greatest Common Factor
We found the factors 4808,5951 . The biggest common factor number is the GCF number.
So the greatest common factor 4808,5951 is 1.
Lets's calculate LCM of 148,3888
| 2 | 148, 3888 |
| 2 | 74, 1944 |
| 37, 972 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 972 = 143856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143856
Therefore, the GCF of Fractions 4808/148,5951/3888 is 1/143856
Least Common Multiple of 148,3888 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 148,3888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,3888) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,3888) x common factors =4 x 1 = 4
LCM(148,3888) = ( 148 × 3888 ) / 4
LCM(148,3888) = 575424 / 4
LCM(148,3888) = 143856
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FAQs on GCF of Fractions of 4808/148, 5951/3888
1. What is the HCF of 4808,5951?
The HCF of 4808,5951 is 1
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 4808/148, 5951/3888?
Answer: GCF of Numerators as per given numbers 4808/148, 5951/3888 is
GCF of Numerators i.e. for 4808,5951 is 1
LCM of denominators i.e. for 148,3888 is 143856.
Thus, GCF of Fractions is 1/143856.Finally, GCF of Fractions for 4808/148, 5951/3888 is 1/143856.