GCF of 62/478, 514/637, 474/655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/478, 514/637, 474/655 i.e 2/199438330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/478, 514/637, 474/655.
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 62/478,514/637,474/655?
Given fractions are 62/478,514/637,474/655
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 62/478,514/637,474/655, numerators are 62,514,474
Denominators are 478,637,655
The GCF of 62,514,474 is 2 .
LCM of 478,637,655 is 199438330.
The greatest common factor of 62/478,514/637,474/655 = [GCF of 62,514,474]/[LCM of 478,637,655]= 2/199438330
Therefore, the GCF of 62/478,514/637,474/655 is 2/199438330.
To find the highest common factor of 62,514,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 514 are 1, 2, 257, 514
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 62,514,474 is 2.
Lets's calculate GCF of 62,514,474
| 2 | 62, 514, 474 |
| 31, 257, 237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 62,514,474 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 514
:1,2,257,514
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 62,514,474 . The biggest common factor number is the GCF number.
So the greatest common factor 62,514,474 is 2.
Lets's calculate LCM of 478,637,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 199438330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199438330
Therefore, the GCF of Fractions 62/478,514/637,474/655 is 2/199438330
Least Common Multiple of 478,637,655 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 478,637,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,637,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,637,655) x common factors =1 x 1 = 1
LCM(478,637,655) = ( 478 × 637 × 655 ) / 1
LCM(478,637,655) = 199438330 / 1
LCM(478,637,655) = 199438330
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FAQs on GCF of Fractions of 62/478, 514/637, 474/655
1. What is the HCF of 62,514,474?
The HCF of 62,514,474 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 62/478, 514/637, 474/655?
Answer: GCF of Numerators as per given numbers 62/478, 514/637, 474/655 is
GCF of Numerators i.e. for 62,514,474 is 2
LCM of denominators i.e. for 478,637,655 is 199438330.
Thus, GCF of Fractions is 2/199438330.Finally, GCF of Fractions for 62/478, 514/637, 474/655 is 2/199438330.