GCF of 5782/685, 7000/9502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5782/685, 7000/9502 i.e 14/6508870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5782/685, 7000/9502.
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 5782/685,7000/9502?
Given fractions are 5782/685,7000/9502
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 5782/685,7000/9502, numerators are 5782,7000
Denominators are 685,9502
The GCF of 5782,7000 is 14 .
LCM of 685,9502 is 6508870.
The greatest common factor of 5782/685,7000/9502 = [GCF of 5782,7000]/[LCM of 685,9502]= 14/6508870
Therefore, the GCF of 5782/685,7000/9502 is 14/6508870.
To find the highest common factor of 5782,7000, we have to find the factors of both numbers and list the highest common factor.
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The HCF of 5782,7000 is 14.
Lets's calculate GCF of 5782,7000
| 2 | 5782, 7000 |
| 7 | 2891, 3500 |
| 413, 500 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5782,7000 By Matching Biggest Common Factor Method
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 5782,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 5782,7000 is 14.
Lets's calculate LCM of 685,9502
Given numbers has no common factors except 1. So, there LCM is their product i.e 6508870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6508870
Therefore, the GCF of Fractions 5782/685,7000/9502 is 14/6508870
Least Common Multiple of 685,9502 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 685,9502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,9502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,9502) x common factors =1 x 1 = 1
LCM(685,9502) = ( 685 × 9502 ) / 1
LCM(685,9502) = 6508870 / 1
LCM(685,9502) = 6508870
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FAQs on GCF of Fractions of 5782/685, 7000/9502
1. What is the HCF of 5782,7000?
The HCF of 5782,7000 is 14
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 5782/685, 7000/9502?
Answer: GCF of Numerators as per given numbers 5782/685, 7000/9502 is
GCF of Numerators i.e. for 5782,7000 is 14
LCM of denominators i.e. for 685,9502 is 6508870.
Thus, GCF of Fractions is 14/6508870.Finally, GCF of Fractions for 5782/685, 7000/9502 is 14/6508870.