GCF of 4570/314, 6630/658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4570/314, 6630/658 i.e 10/103306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4570/314, 6630/658.
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 4570/314,6630/658?
Given fractions are 4570/314,6630/658
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 4570/314,6630/658, numerators are 4570,6630
Denominators are 314,658
The GCF of 4570,6630 is 10 .
LCM of 314,658 is 103306.
The greatest common factor of 4570/314,6630/658 = [GCF of 4570,6630]/[LCM of 314,658]= 10/103306
Therefore, the GCF of 4570/314,6630/658 is 10/103306.
To find the highest common factor of 4570,6630, we have to find the factors of both numbers and list the highest common factor.
The factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The HCF of 4570,6630 is 10.
Lets's calculate GCF of 4570,6630
| 2 | 4570, 6630 |
| 5 | 2285, 3315 |
| 457, 663 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4570,6630 By Matching Biggest Common Factor Method
Now, list down the factors of 4570
:1,2,5,10,457,914,2285,4570
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Greatest Common Factor
We found the factors 4570,6630 . The biggest common factor number is the GCF number.
So the greatest common factor 4570,6630 is 10.
Lets's calculate LCM of 314,658
| 2 | 314, 658 |
| 157, 329 |
∴ So the LCM of the given numbers is 2 x 157 x 329 = 103306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/103306
Therefore, the GCF of Fractions 4570/314,6630/658 is 10/103306
Least Common Multiple of 314,658 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 314,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,658) x common factors =2 x 1 = 2
LCM(314,658) = ( 314 × 658 ) / 2
LCM(314,658) = 206612 / 2
LCM(314,658) = 103306
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FAQs on GCF of Fractions of 4570/314, 6630/658
1. What is the HCF of 4570,6630?
The HCF of 4570,6630 is 10
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 4570/314, 6630/658?
Answer: GCF of Numerators as per given numbers 4570/314, 6630/658 is
GCF of Numerators i.e. for 4570,6630 is 10
LCM of denominators i.e. for 314,658 is 103306.
Thus, GCF of Fractions is 10/103306.Finally, GCF of Fractions for 4570/314, 6630/658 is 10/103306.