GCF of 3910/758, 2024/6507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3910/758, 2024/6507 i.e 46/4932306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3910/758, 2024/6507.
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 3910/758,2024/6507?
Given fractions are 3910/758,2024/6507
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 3910/758,2024/6507, numerators are 3910,2024
Denominators are 758,6507
The GCF of 3910,2024 is 46 .
LCM of 758,6507 is 4932306.
The greatest common factor of 3910/758,2024/6507 = [GCF of 3910,2024]/[LCM of 758,6507]= 46/4932306
Therefore, the GCF of 3910/758,2024/6507 is 46/4932306.
To find the highest common factor of 3910,2024, we have to find the factors of both numbers and list the highest common factor.
The factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The HCF of 3910,2024 is 46.
Lets's calculate GCF of 3910,2024
| 2 | 3910, 2024 |
| 23 | 1955, 1012 |
| 85, 44 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 3910,2024 By Matching Biggest Common Factor Method
Now, list down the factors of 3910
:1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Greatest Common Factor
We found the factors 3910,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 3910,2024 is 46.
Lets's calculate LCM of 758,6507
Given numbers has no common factors except 1. So, there LCM is their product i.e 4932306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/4932306
Therefore, the GCF of Fractions 3910/758,2024/6507 is 46/4932306
Least Common Multiple of 758,6507 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 758,6507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,6507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,6507) x common factors =1 x 1 = 1
LCM(758,6507) = ( 758 × 6507 ) / 1
LCM(758,6507) = 4932306 / 1
LCM(758,6507) = 4932306
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FAQs on GCF of Fractions of 3910/758, 2024/6507
1. What is the HCF of 3910,2024?
The HCF of 3910,2024 is 46
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 3910/758, 2024/6507?
Answer: GCF of Numerators as per given numbers 3910/758, 2024/6507 is
GCF of Numerators i.e. for 3910,2024 is 46
LCM of denominators i.e. for 758,6507 is 4932306.
Thus, GCF of Fractions is 46/4932306.Finally, GCF of Fractions for 3910/758, 2024/6507 is 46/4932306.