GCF of 3140/350, 7848/8086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3140/350, 7848/8086 i.e 4/1415050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3140/350, 7848/8086.
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 3140/350,7848/8086?
Given fractions are 3140/350,7848/8086
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 3140/350,7848/8086, numerators are 3140,7848
Denominators are 350,8086
The GCF of 3140,7848 is 4 .
LCM of 350,8086 is 1415050.
The greatest common factor of 3140/350,7848/8086 = [GCF of 3140,7848]/[LCM of 350,8086]= 4/1415050
Therefore, the GCF of 3140/350,7848/8086 is 4/1415050.
To find the highest common factor of 3140,7848, we have to find the factors of both numbers and list the highest common factor.
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The HCF of 3140,7848 is 4.
Lets's calculate GCF of 3140,7848
| 2 | 3140, 7848 |
| 2 | 1570, 3924 |
| 785, 1962 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3140,7848 By Matching Biggest Common Factor Method
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Now, list down the factors of 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Greatest Common Factor
We found the factors 3140,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,7848 is 4.
Lets's calculate LCM of 350,8086
| 2 | 350, 8086 |
| 175, 4043 |
∴ So the LCM of the given numbers is 2 x 175 x 4043 = 1415050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1415050
Therefore, the GCF of Fractions 3140/350,7848/8086 is 4/1415050
Least Common Multiple of 350,8086 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 350,8086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,8086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,8086) x common factors =2 x 1 = 2
LCM(350,8086) = ( 350 × 8086 ) / 2
LCM(350,8086) = 2830100 / 2
LCM(350,8086) = 1415050
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FAQs on GCF of Fractions of 3140/350, 7848/8086
1. What is the HCF of 3140,7848?
The HCF of 3140,7848 is 4
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 3140/350, 7848/8086?
Answer: GCF of Numerators as per given numbers 3140/350, 7848/8086 is
GCF of Numerators i.e. for 3140,7848 is 4
LCM of denominators i.e. for 350,8086 is 1415050.
Thus, GCF of Fractions is 4/1415050.Finally, GCF of Fractions for 3140/350, 7848/8086 is 4/1415050.