GCF of 3887/876, 5066/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3887/876, 5066/748 i.e 1/163812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3887/876, 5066/748.
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 3887/876,5066/748?
Given fractions are 3887/876,5066/748
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 3887/876,5066/748, numerators are 3887,5066
Denominators are 876,748
The GCF of 3887,5066 is 1 .
LCM of 876,748 is 163812.
The greatest common factor of 3887/876,5066/748 = [GCF of 3887,5066]/[LCM of 876,748]= 1/163812
Therefore, the GCF of 3887/876,5066/748 is 1/163812.
To find the highest common factor of 3887,5066, we have to find the factors of both numbers and list the highest common factor.
The factors of 3887 are 1, 13, 23, 169, 299, 3887
The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066
The HCF of 3887,5066 is 1.
Lets's calculate GCF of 3887,5066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3887,5066 By Matching Biggest Common Factor Method
Now, list down the factors of 3887
:1,13,23,169,299,3887
Now, list down the factors of 5066
:1,2,17,34,149,298,2533,5066
Greatest Common Factor
We found the factors 3887,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 3887,5066 is 1.
Lets's calculate LCM of 876,748
| 2 | 876, 748 |
| 2 | 438, 374 |
| 219, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 187 = 163812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163812
Therefore, the GCF of Fractions 3887/876,5066/748 is 1/163812
Least Common Multiple of 876,748 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 876,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,748) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,748) x common factors =4 x 1 = 4
LCM(876,748) = ( 876 × 748 ) / 4
LCM(876,748) = 655248 / 4
LCM(876,748) = 163812
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FAQs on GCF of Fractions of 3887/876, 5066/748
1. What is the HCF of 3887,5066?
The HCF of 3887,5066 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 3887/876, 5066/748?
Answer: GCF of Numerators as per given numbers 3887/876, 5066/748 is
GCF of Numerators i.e. for 3887,5066 is 1
LCM of denominators i.e. for 876,748 is 163812.
Thus, GCF of Fractions is 1/163812.Finally, GCF of Fractions for 3887/876, 5066/748 is 1/163812.