GCF of 8038/969, 3752/1740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8038/969, 3752/1740 i.e 2/562020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8038/969, 3752/1740.
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 8038/969,3752/1740?
Given fractions are 8038/969,3752/1740
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 8038/969,3752/1740, numerators are 8038,3752
Denominators are 969,1740
The GCF of 8038,3752 is 2 .
LCM of 969,1740 is 562020.
The greatest common factor of 8038/969,3752/1740 = [GCF of 8038,3752]/[LCM of 969,1740]= 2/562020
Therefore, the GCF of 8038/969,3752/1740 is 2/562020.
To find the highest common factor of 8038,3752, we have to find the factors of both numbers and list the highest common factor.
The factors of 8038 are 1, 2, 4019, 8038
The factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752
The HCF of 8038,3752 is 2.
Lets's calculate GCF of 8038,3752
| 2 | 8038, 3752 |
| 4019, 1876 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8038,3752 By Matching Biggest Common Factor Method
Now, list down the factors of 8038
:1,2,4019,8038
Now, list down the factors of 3752
:1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Greatest Common Factor
We found the factors 8038,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,3752 is 2.
Lets's calculate LCM of 969,1740
| 3 | 969, 1740 |
| 323, 580 |
∴ So the LCM of the given numbers is 3 x 323 x 580 = 562020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/562020
Therefore, the GCF of Fractions 8038/969,3752/1740 is 2/562020
Least Common Multiple of 969,1740 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 969,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,1740) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,1740) x common factors =3 x 1 = 3
LCM(969,1740) = ( 969 × 1740 ) / 3
LCM(969,1740) = 1686060 / 3
LCM(969,1740) = 562020
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FAQs on GCF of Fractions of 8038/969, 3752/1740
1. What is the HCF of 8038,3752?
The HCF of 8038,3752 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 8038/969, 3752/1740?
Answer: GCF of Numerators as per given numbers 8038/969, 3752/1740 is
GCF of Numerators i.e. for 8038,3752 is 2
LCM of denominators i.e. for 969,1740 is 562020.
Thus, GCF of Fractions is 2/562020.Finally, GCF of Fractions for 8038/969, 3752/1740 is 2/562020.