GCF of 4470/634, 4110/6570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4470/634, 4110/6570 i.e 30/2082690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4470/634, 4110/6570.
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 4470/634,4110/6570?
Given fractions are 4470/634,4110/6570
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 4470/634,4110/6570, numerators are 4470,4110
Denominators are 634,6570
The GCF of 4470,4110 is 30 .
LCM of 634,6570 is 2082690.
The greatest common factor of 4470/634,4110/6570 = [GCF of 4470,4110]/[LCM of 634,6570]= 30/2082690
Therefore, the GCF of 4470/634,4110/6570 is 30/2082690.
To find the highest common factor of 4470,4110, we have to find the factors of both numbers and list the highest common factor.
The factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470
The factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110
The HCF of 4470,4110 is 30.
Lets's calculate GCF of 4470,4110
| 2 | 4470, 4110 |
| 3 | 2235, 2055 |
| 5 | 745, 685 |
| 149, 137 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4470,4110 By Matching Biggest Common Factor Method
Now, list down the factors of 4470
:1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470
Now, list down the factors of 4110
:1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110
Greatest Common Factor
We found the factors 4470,4110 . The biggest common factor number is the GCF number.
So the greatest common factor 4470,4110 is 30.
Lets's calculate LCM of 634,6570
| 2 | 634, 6570 |
| 317, 3285 |
∴ So the LCM of the given numbers is 2 x 317 x 3285 = 2082690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2082690
Therefore, the GCF of Fractions 4470/634,4110/6570 is 30/2082690
Least Common Multiple of 634,6570 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 634,6570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,6570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,6570) x common factors =2 x 1 = 2
LCM(634,6570) = ( 634 × 6570 ) / 2
LCM(634,6570) = 4165380 / 2
LCM(634,6570) = 2082690
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FAQs on GCF of Fractions of 4470/634, 4110/6570
1. What is the HCF of 4470,4110?
The HCF of 4470,4110 is 30
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 4470/634, 4110/6570?
Answer: GCF of Numerators as per given numbers 4470/634, 4110/6570 is
GCF of Numerators i.e. for 4470,4110 is 30
LCM of denominators i.e. for 634,6570 is 2082690.
Thus, GCF of Fractions is 30/2082690.Finally, GCF of Fractions for 4470/634, 4110/6570 is 30/2082690.