GCF of 1034/350, 7074/4518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1034/350, 7074/4518 i.e 2/790650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1034/350, 7074/4518.
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 1034/350,7074/4518?
Given fractions are 1034/350,7074/4518
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 1034/350,7074/4518, numerators are 1034,7074
Denominators are 350,4518
The GCF of 1034,7074 is 2 .
LCM of 350,4518 is 790650.
The greatest common factor of 1034/350,7074/4518 = [GCF of 1034,7074]/[LCM of 350,4518]= 2/790650
Therefore, the GCF of 1034/350,7074/4518 is 2/790650.
To find the highest common factor of 1034,7074, we have to find the factors of both numbers and list the highest common factor.
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074
The HCF of 1034,7074 is 2.
Lets's calculate GCF of 1034,7074
| 2 | 1034, 7074 |
| 517, 3537 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1034,7074 By Matching Biggest Common Factor Method
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Now, list down the factors of 7074
:1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Greatest Common Factor
We found the factors 1034,7074 . The biggest common factor number is the GCF number.
So the greatest common factor 1034,7074 is 2.
Lets's calculate LCM of 350,4518
| 2 | 350, 4518 |
| 175, 2259 |
∴ So the LCM of the given numbers is 2 x 175 x 2259 = 790650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/790650
Therefore, the GCF of Fractions 1034/350,7074/4518 is 2/790650
Least Common Multiple of 350,4518 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 350,4518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,4518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,4518) x common factors =2 x 1 = 2
LCM(350,4518) = ( 350 × 4518 ) / 2
LCM(350,4518) = 1581300 / 2
LCM(350,4518) = 790650
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FAQs on GCF of Fractions of 1034/350, 7074/4518
1. What is the HCF of 1034,7074?
The HCF of 1034,7074 is 2
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 1034/350, 7074/4518?
Answer: GCF of Numerators as per given numbers 1034/350, 7074/4518 is
GCF of Numerators i.e. for 1034,7074 is 2
LCM of denominators i.e. for 350,4518 is 790650.
Thus, GCF of Fractions is 2/790650.Finally, GCF of Fractions for 1034/350, 7074/4518 is 2/790650.