GCF of 1514/224, 6290/1052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1514/224, 6290/1052 i.e 2/58912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1514/224, 6290/1052.
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 1514/224,6290/1052?
Given fractions are 1514/224,6290/1052
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 1514/224,6290/1052, numerators are 1514,6290
Denominators are 224,1052
The GCF of 1514,6290 is 2 .
LCM of 224,1052 is 58912.
The greatest common factor of 1514/224,6290/1052 = [GCF of 1514,6290]/[LCM of 224,1052]= 2/58912
Therefore, the GCF of 1514/224,6290/1052 is 2/58912.
To find the highest common factor of 1514,6290, we have to find the factors of both numbers and list the highest common factor.
The factors of 1514 are 1, 2, 757, 1514
The factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290
The HCF of 1514,6290 is 2.
Lets's calculate GCF of 1514,6290
| 2 | 1514, 6290 |
| 757, 3145 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1514,6290 By Matching Biggest Common Factor Method
Now, list down the factors of 1514
:1,2,757,1514
Now, list down the factors of 6290
:1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290
Greatest Common Factor
We found the factors 1514,6290 . The biggest common factor number is the GCF number.
So the greatest common factor 1514,6290 is 2.
Lets's calculate LCM of 224,1052
| 2 | 224, 1052 |
| 2 | 112, 526 |
| 56, 263 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 263 = 58912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58912
Therefore, the GCF of Fractions 1514/224,6290/1052 is 2/58912
Least Common Multiple of 224,1052 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 224,1052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,1052) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,1052) x common factors =4 x 1 = 4
LCM(224,1052) = ( 224 × 1052 ) / 4
LCM(224,1052) = 235648 / 4
LCM(224,1052) = 58912
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FAQs on GCF of Fractions of 1514/224, 6290/1052
1. What is the HCF of 1514,6290?
The HCF of 1514,6290 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 1514/224, 6290/1052?
Answer: GCF of Numerators as per given numbers 1514/224, 6290/1052 is
GCF of Numerators i.e. for 1514,6290 is 2
LCM of denominators i.e. for 224,1052 is 58912.
Thus, GCF of Fractions is 2/58912.Finally, GCF of Fractions for 1514/224, 6290/1052 is 2/58912.