GCF of 2045/699, 5250/9988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2045/699, 5250/9988 i.e 5/6981612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2045/699, 5250/9988.
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 2045/699,5250/9988?
Given fractions are 2045/699,5250/9988
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 2045/699,5250/9988, numerators are 2045,5250
Denominators are 699,9988
The GCF of 2045,5250 is 5 .
LCM of 699,9988 is 6981612.
The greatest common factor of 2045/699,5250/9988 = [GCF of 2045,5250]/[LCM of 699,9988]= 5/6981612
Therefore, the GCF of 2045/699,5250/9988 is 5/6981612.
To find the highest common factor of 2045,5250, we have to find the factors of both numbers and list the highest common factor.
The factors of 2045 are 1, 5, 409, 2045
The factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The HCF of 2045,5250 is 5.
Lets's calculate GCF of 2045,5250
| 5 | 2045, 5250 |
| 409, 1050 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2045,5250 By Matching Biggest Common Factor Method
Now, list down the factors of 2045
:1,5,409,2045
Now, list down the factors of 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Greatest Common Factor
We found the factors 2045,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 2045,5250 is 5.
Lets's calculate LCM of 699,9988
Given numbers has no common factors except 1. So, there LCM is their product i.e 6981612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6981612
Therefore, the GCF of Fractions 2045/699,5250/9988 is 5/6981612
Least Common Multiple of 699,9988 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 699,9988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,9988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,9988) x common factors =1 x 1 = 1
LCM(699,9988) = ( 699 × 9988 ) / 1
LCM(699,9988) = 6981612 / 1
LCM(699,9988) = 6981612
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FAQs on GCF of Fractions of 2045/699, 5250/9988
1. What is the HCF of 2045,5250?
The HCF of 2045,5250 is 5
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 2045/699, 5250/9988?
Answer: GCF of Numerators as per given numbers 2045/699, 5250/9988 is
GCF of Numerators i.e. for 2045,5250 is 5
LCM of denominators i.e. for 699,9988 is 6981612.
Thus, GCF of Fractions is 5/6981612.Finally, GCF of Fractions for 2045/699, 5250/9988 is 5/6981612.