GCF of 5477/707, 3015/4865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5477/707, 3015/4865 i.e 1/491365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5477/707, 3015/4865.
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 5477/707,3015/4865?
Given fractions are 5477/707,3015/4865
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 5477/707,3015/4865, numerators are 5477,3015
Denominators are 707,4865
The GCF of 5477,3015 is 1 .
LCM of 707,4865 is 491365.
The greatest common factor of 5477/707,3015/4865 = [GCF of 5477,3015]/[LCM of 707,4865]= 1/491365
Therefore, the GCF of 5477/707,3015/4865 is 1/491365.
To find the highest common factor of 5477,3015, we have to find the factors of both numbers and list the highest common factor.
The factors of 5477 are 1, 5477
The factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015
The HCF of 5477,3015 is 1.
Lets's calculate GCF of 5477,3015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5477,3015 By Matching Biggest Common Factor Method
Now, list down the factors of 5477
:1,5477
Now, list down the factors of 3015
:1,3,5,9,15,45,67,201,335,603,1005,3015
Greatest Common Factor
We found the factors 5477,3015 . The biggest common factor number is the GCF number.
So the greatest common factor 5477,3015 is 1.
Lets's calculate LCM of 707,4865
| 7 | 707, 4865 |
| 101, 695 |
∴ So the LCM of the given numbers is 7 x 101 x 695 = 491365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491365
Therefore, the GCF of Fractions 5477/707,3015/4865 is 1/491365
Least Common Multiple of 707,4865 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 707,4865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,4865) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,4865) x common factors =7 x 1 = 7
LCM(707,4865) = ( 707 × 4865 ) / 7
LCM(707,4865) = 3439555 / 7
LCM(707,4865) = 491365
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FAQs on GCF of Fractions of 5477/707, 3015/4865
1. What is the HCF of 5477,3015?
The HCF of 5477,3015 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 5477/707, 3015/4865?
Answer: GCF of Numerators as per given numbers 5477/707, 3015/4865 is
GCF of Numerators i.e. for 5477,3015 is 1
LCM of denominators i.e. for 707,4865 is 491365.
Thus, GCF of Fractions is 1/491365.Finally, GCF of Fractions for 5477/707, 3015/4865 is 1/491365.