GCF of 6575/880, 1986/9350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6575/880, 1986/9350 i.e 1/74800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6575/880, 1986/9350.
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 6575/880,1986/9350?
Given fractions are 6575/880,1986/9350
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 6575/880,1986/9350, numerators are 6575,1986
Denominators are 880,9350
The GCF of 6575,1986 is 1 .
LCM of 880,9350 is 74800.
The greatest common factor of 6575/880,1986/9350 = [GCF of 6575,1986]/[LCM of 880,9350]= 1/74800
Therefore, the GCF of 6575/880,1986/9350 is 1/74800.
To find the highest common factor of 6575,1986, we have to find the factors of both numbers and list the highest common factor.
The factors of 6575 are 1, 5, 25, 263, 1315, 6575
The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986
The HCF of 6575,1986 is 1.
Lets's calculate GCF of 6575,1986
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6575,1986 By Matching Biggest Common Factor Method
Now, list down the factors of 6575
:1,5,25,263,1315,6575
Now, list down the factors of 1986
:1,2,3,6,331,662,993,1986
Greatest Common Factor
We found the factors 6575,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 6575,1986 is 1.
Lets's calculate LCM of 880,9350
| 2 | 880, 9350 |
| 5 | 440, 4675 |
| 11 | 88, 935 |
| 8, 85 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 8 x 85 = 74800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74800
Therefore, the GCF of Fractions 6575/880,1986/9350 is 1/74800
Least Common Multiple of 880,9350 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 880,9350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,9350) = 110
common factors(in case of two or more numbers have common factors) = 1
GCF(880,9350) x common factors =110 x 1 = 110
LCM(880,9350) = ( 880 × 9350 ) / 110
LCM(880,9350) = 8228000 / 110
LCM(880,9350) = 74800
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FAQs on GCF of Fractions of 6575/880, 1986/9350
1. What is the HCF of 6575,1986?
The HCF of 6575,1986 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 6575/880, 1986/9350?
Answer: GCF of Numerators as per given numbers 6575/880, 1986/9350 is
GCF of Numerators i.e. for 6575,1986 is 1
LCM of denominators i.e. for 880,9350 is 74800.
Thus, GCF of Fractions is 1/74800.Finally, GCF of Fractions for 6575/880, 1986/9350 is 1/74800.