GCF of 3907/262, 3582/7514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3907/262, 3582/7514 i.e 1/984334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3907/262, 3582/7514.
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 3907/262,3582/7514?
Given fractions are 3907/262,3582/7514
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 3907/262,3582/7514, numerators are 3907,3582
Denominators are 262,7514
The GCF of 3907,3582 is 1 .
LCM of 262,7514 is 984334.
The greatest common factor of 3907/262,3582/7514 = [GCF of 3907,3582]/[LCM of 262,7514]= 1/984334
Therefore, the GCF of 3907/262,3582/7514 is 1/984334.
To find the highest common factor of 3907,3582, we have to find the factors of both numbers and list the highest common factor.
The factors of 3907 are 1, 3907
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The HCF of 3907,3582 is 1.
Lets's calculate GCF of 3907,3582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3907,3582 By Matching Biggest Common Factor Method
Now, list down the factors of 3907
:1,3907
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Greatest Common Factor
We found the factors 3907,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 3907,3582 is 1.
Lets's calculate LCM of 262,7514
| 2 | 262, 7514 |
| 131, 3757 |
∴ So the LCM of the given numbers is 2 x 131 x 3757 = 984334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/984334
Therefore, the GCF of Fractions 3907/262,3582/7514 is 1/984334
Least Common Multiple of 262,7514 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 262,7514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,7514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,7514) x common factors =2 x 1 = 2
LCM(262,7514) = ( 262 × 7514 ) / 2
LCM(262,7514) = 1968668 / 2
LCM(262,7514) = 984334
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FAQs on GCF of Fractions of 3907/262, 3582/7514
1. What is the HCF of 3907,3582?
The HCF of 3907,3582 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 3907/262, 3582/7514?
Answer: GCF of Numerators as per given numbers 3907/262, 3582/7514 is
GCF of Numerators i.e. for 3907,3582 is 1
LCM of denominators i.e. for 262,7514 is 984334.
Thus, GCF of Fractions is 1/984334.Finally, GCF of Fractions for 3907/262, 3582/7514 is 1/984334.