GCF of 3974/968, 6052/7690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3974/968, 6052/7690 i.e 2/3721960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3974/968, 6052/7690.
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 3974/968,6052/7690?
Given fractions are 3974/968,6052/7690
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 3974/968,6052/7690, numerators are 3974,6052
Denominators are 968,7690
The GCF of 3974,6052 is 2 .
LCM of 968,7690 is 3721960.
The greatest common factor of 3974/968,6052/7690 = [GCF of 3974,6052]/[LCM of 968,7690]= 2/3721960
Therefore, the GCF of 3974/968,6052/7690 is 2/3721960.
To find the highest common factor of 3974,6052, we have to find the factors of both numbers and list the highest common factor.
The factors of 3974 are 1, 2, 1987, 3974
The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052
The HCF of 3974,6052 is 2.
Lets's calculate GCF of 3974,6052
| 2 | 3974, 6052 |
| 1987, 3026 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3974,6052 By Matching Biggest Common Factor Method
Now, list down the factors of 3974
:1,2,1987,3974
Now, list down the factors of 6052
:1,2,4,17,34,68,89,178,356,1513,3026,6052
Greatest Common Factor
We found the factors 3974,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 3974,6052 is 2.
Lets's calculate LCM of 968,7690
| 2 | 968, 7690 |
| 484, 3845 |
∴ So the LCM of the given numbers is 2 x 484 x 3845 = 3721960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3721960
Therefore, the GCF of Fractions 3974/968,6052/7690 is 2/3721960
Least Common Multiple of 968,7690 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 968,7690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,7690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,7690) x common factors =2 x 1 = 2
LCM(968,7690) = ( 968 × 7690 ) / 2
LCM(968,7690) = 7443920 / 2
LCM(968,7690) = 3721960
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FAQs on GCF of Fractions of 3974/968, 6052/7690
1. What is the HCF of 3974,6052?
The HCF of 3974,6052 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 3974/968, 6052/7690?
Answer: GCF of Numerators as per given numbers 3974/968, 6052/7690 is
GCF of Numerators i.e. for 3974,6052 is 2
LCM of denominators i.e. for 968,7690 is 3721960.
Thus, GCF of Fractions is 2/3721960.Finally, GCF of Fractions for 3974/968, 6052/7690 is 2/3721960.