GCF of 7890/435, 6493/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7890/435, 6493/560 i.e 1/48720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7890/435, 6493/560.
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 7890/435,6493/560?
Given fractions are 7890/435,6493/560
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 7890/435,6493/560, numerators are 7890,6493
Denominators are 435,560
The GCF of 7890,6493 is 1 .
LCM of 435,560 is 48720.
The greatest common factor of 7890/435,6493/560 = [GCF of 7890,6493]/[LCM of 435,560]= 1/48720
Therefore, the GCF of 7890/435,6493/560 is 1/48720.
To find the highest common factor of 7890,6493, we have to find the factors of both numbers and list the highest common factor.
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The factors of 6493 are 1, 43, 151, 6493
The HCF of 7890,6493 is 1.
Lets's calculate GCF of 7890,6493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7890,6493 By Matching Biggest Common Factor Method
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Now, list down the factors of 6493
:1,43,151,6493
Greatest Common Factor
We found the factors 7890,6493 . The biggest common factor number is the GCF number.
So the greatest common factor 7890,6493 is 1.
Lets's calculate LCM of 435,560
| 5 | 435, 560 |
| 87, 112 |
∴ So the LCM of the given numbers is 5 x 87 x 112 = 48720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48720
Therefore, the GCF of Fractions 7890/435,6493/560 is 1/48720
Least Common Multiple of 435,560 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 435,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,560) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,560) x common factors =5 x 1 = 5
LCM(435,560) = ( 435 × 560 ) / 5
LCM(435,560) = 243600 / 5
LCM(435,560) = 48720
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FAQs on GCF of Fractions of 7890/435, 6493/560
1. What is the HCF of 7890,6493?
The HCF of 7890,6493 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 7890/435, 6493/560?
Answer: GCF of Numerators as per given numbers 7890/435, 6493/560 is
GCF of Numerators i.e. for 7890,6493 is 1
LCM of denominators i.e. for 435,560 is 48720.
Thus, GCF of Fractions is 1/48720.Finally, GCF of Fractions for 7890/435, 6493/560 is 1/48720.