GCF of 1083/464, 5100/7770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1083/464, 5100/7770 i.e 3/1802640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1083/464, 5100/7770.
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 1083/464,5100/7770?
Given fractions are 1083/464,5100/7770
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 1083/464,5100/7770, numerators are 1083,5100
Denominators are 464,7770
The GCF of 1083,5100 is 3 .
LCM of 464,7770 is 1802640.
The greatest common factor of 1083/464,5100/7770 = [GCF of 1083,5100]/[LCM of 464,7770]= 3/1802640
Therefore, the GCF of 1083/464,5100/7770 is 3/1802640.
To find the highest common factor of 1083,5100, we have to find the factors of both numbers and list the highest common factor.
The factors of 1083 are 1, 3, 19, 57, 361, 1083
The factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100
The HCF of 1083,5100 is 3.
Lets's calculate GCF of 1083,5100
| 3 | 1083, 5100 |
| 361, 1700 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1083,5100 By Matching Biggest Common Factor Method
Now, list down the factors of 1083
:1,3,19,57,361,1083
Now, list down the factors of 5100
:1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100
Greatest Common Factor
We found the factors 1083,5100 . The biggest common factor number is the GCF number.
So the greatest common factor 1083,5100 is 3.
Lets's calculate LCM of 464,7770
| 2 | 464, 7770 |
| 232, 3885 |
∴ So the LCM of the given numbers is 2 x 232 x 3885 = 1802640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1802640
Therefore, the GCF of Fractions 1083/464,5100/7770 is 3/1802640
Least Common Multiple of 464,7770 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 464,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,7770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(464,7770) x common factors =2 x 1 = 2
LCM(464,7770) = ( 464 × 7770 ) / 2
LCM(464,7770) = 3605280 / 2
LCM(464,7770) = 1802640
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FAQs on GCF of Fractions of 1083/464, 5100/7770
1. What is the HCF of 1083,5100?
The HCF of 1083,5100 is 3
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 1083/464, 5100/7770?
Answer: GCF of Numerators as per given numbers 1083/464, 5100/7770 is
GCF of Numerators i.e. for 1083,5100 is 3
LCM of denominators i.e. for 464,7770 is 1802640.
Thus, GCF of Fractions is 3/1802640.Finally, GCF of Fractions for 1083/464, 5100/7770 is 3/1802640.