GCF of 7064/458, 3770/9440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7064/458, 3770/9440 i.e 2/2161760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7064/458, 3770/9440.
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 7064/458,3770/9440?
Given fractions are 7064/458,3770/9440
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 7064/458,3770/9440, numerators are 7064,3770
Denominators are 458,9440
The GCF of 7064,3770 is 2 .
LCM of 458,9440 is 2161760.
The greatest common factor of 7064/458,3770/9440 = [GCF of 7064,3770]/[LCM of 458,9440]= 2/2161760
Therefore, the GCF of 7064/458,3770/9440 is 2/2161760.
To find the highest common factor of 7064,3770, we have to find the factors of both numbers and list the highest common factor.
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770
The HCF of 7064,3770 is 2.
Lets's calculate GCF of 7064,3770
| 2 | 7064, 3770 |
| 3532, 1885 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7064,3770 By Matching Biggest Common Factor Method
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Now, list down the factors of 3770
:1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770
Greatest Common Factor
We found the factors 7064,3770 . The biggest common factor number is the GCF number.
So the greatest common factor 7064,3770 is 2.
Lets's calculate LCM of 458,9440
| 2 | 458, 9440 |
| 229, 4720 |
∴ So the LCM of the given numbers is 2 x 229 x 4720 = 2161760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2161760
Therefore, the GCF of Fractions 7064/458,3770/9440 is 2/2161760
Least Common Multiple of 458,9440 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 458,9440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,9440) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,9440) x common factors =2 x 1 = 2
LCM(458,9440) = ( 458 × 9440 ) / 2
LCM(458,9440) = 4323520 / 2
LCM(458,9440) = 2161760
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FAQs on GCF of Fractions of 7064/458, 3770/9440
1. What is the HCF of 7064,3770?
The HCF of 7064,3770 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 7064/458, 3770/9440?
Answer: GCF of Numerators as per given numbers 7064/458, 3770/9440 is
GCF of Numerators i.e. for 7064,3770 is 2
LCM of denominators i.e. for 458,9440 is 2161760.
Thus, GCF of Fractions is 2/2161760.Finally, GCF of Fractions for 7064/458, 3770/9440 is 2/2161760.