GCF of 5603/500, 1399/7705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5603/500, 1399/7705 i.e 1/770500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5603/500, 1399/7705.
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 5603/500,1399/7705?
Given fractions are 5603/500,1399/7705
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 5603/500,1399/7705, numerators are 5603,1399
Denominators are 500,7705
The GCF of 5603,1399 is 1 .
LCM of 500,7705 is 770500.
The greatest common factor of 5603/500,1399/7705 = [GCF of 5603,1399]/[LCM of 500,7705]= 1/770500
Therefore, the GCF of 5603/500,1399/7705 is 1/770500.
To find the highest common factor of 5603,1399, we have to find the factors of both numbers and list the highest common factor.
The factors of 5603 are 1, 13, 431, 5603
The factors of 1399 are 1, 1399
The HCF of 5603,1399 is 1.
Lets's calculate GCF of 5603,1399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5603,1399 By Matching Biggest Common Factor Method
Now, list down the factors of 5603
:1,13,431,5603
Now, list down the factors of 1399
:1,1399
Greatest Common Factor
We found the factors 5603,1399 . The biggest common factor number is the GCF number.
So the greatest common factor 5603,1399 is 1.
Lets's calculate LCM of 500,7705
| 5 | 500, 7705 |
| 100, 1541 |
∴ So the LCM of the given numbers is 5 x 100 x 1541 = 770500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/770500
Therefore, the GCF of Fractions 5603/500,1399/7705 is 1/770500
Least Common Multiple of 500,7705 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 500,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,7705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(500,7705) x common factors =5 x 1 = 5
LCM(500,7705) = ( 500 × 7705 ) / 5
LCM(500,7705) = 3852500 / 5
LCM(500,7705) = 770500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5603/500, 1399/7705
1. What is the HCF of 5603,1399?
The HCF of 5603,1399 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 5603/500, 1399/7705?
Answer: GCF of Numerators as per given numbers 5603/500, 1399/7705 is
GCF of Numerators i.e. for 5603,1399 is 1
LCM of denominators i.e. for 500,7705 is 770500.
Thus, GCF of Fractions is 1/770500.Finally, GCF of Fractions for 5603/500, 1399/7705 is 1/770500.