GCF of 3876/752, 1498/7431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3876/752, 1498/7431 i.e 2/5588112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3876/752, 1498/7431.
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 3876/752,1498/7431?
Given fractions are 3876/752,1498/7431
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 3876/752,1498/7431, numerators are 3876,1498
Denominators are 752,7431
The GCF of 3876,1498 is 2 .
LCM of 752,7431 is 5588112.
The greatest common factor of 3876/752,1498/7431 = [GCF of 3876,1498]/[LCM of 752,7431]= 2/5588112
Therefore, the GCF of 3876/752,1498/7431 is 2/5588112.
To find the highest common factor of 3876,1498, we have to find the factors of both numbers and list the highest common factor.
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498
The HCF of 3876,1498 is 2.
Lets's calculate GCF of 3876,1498
| 2 | 3876, 1498 |
| 1938, 749 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3876,1498 By Matching Biggest Common Factor Method
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Now, list down the factors of 1498
:1,2,7,14,107,214,749,1498
Greatest Common Factor
We found the factors 3876,1498 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,1498 is 2.
Lets's calculate LCM of 752,7431
Given numbers has no common factors except 1. So, there LCM is their product i.e 5588112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5588112
Therefore, the GCF of Fractions 3876/752,1498/7431 is 2/5588112
Least Common Multiple of 752,7431 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 752,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,7431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,7431) x common factors =1 x 1 = 1
LCM(752,7431) = ( 752 × 7431 ) / 1
LCM(752,7431) = 5588112 / 1
LCM(752,7431) = 5588112
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FAQs on GCF of Fractions of 3876/752, 1498/7431
1. What is the HCF of 3876,1498?
The HCF of 3876,1498 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 3876/752, 1498/7431?
Answer: GCF of Numerators as per given numbers 3876/752, 1498/7431 is
GCF of Numerators i.e. for 3876,1498 is 2
LCM of denominators i.e. for 752,7431 is 5588112.
Thus, GCF of Fractions is 2/5588112.Finally, GCF of Fractions for 3876/752, 1498/7431 is 2/5588112.