GCF of 4230/670, 2190/392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4230/670, 2190/392 i.e 30/131320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4230/670, 2190/392.
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 4230/670,2190/392?
Given fractions are 4230/670,2190/392
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 4230/670,2190/392, numerators are 4230,2190
Denominators are 670,392
The GCF of 4230,2190 is 30 .
LCM of 670,392 is 131320.
The greatest common factor of 4230/670,2190/392 = [GCF of 4230,2190]/[LCM of 670,392]= 30/131320
Therefore, the GCF of 4230/670,2190/392 is 30/131320.
To find the highest common factor of 4230,2190, we have to find the factors of both numbers and list the highest common factor.
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190
The HCF of 4230,2190 is 30.
Lets's calculate GCF of 4230,2190
| 2 | 4230, 2190 |
| 3 | 2115, 1095 |
| 5 | 705, 365 |
| 141, 73 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4230,2190 By Matching Biggest Common Factor Method
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Now, list down the factors of 2190
:1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Greatest Common Factor
We found the factors 4230,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 4230,2190 is 30.
Lets's calculate LCM of 670,392
| 2 | 670, 392 |
| 335, 196 |
∴ So the LCM of the given numbers is 2 x 335 x 196 = 131320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/131320
Therefore, the GCF of Fractions 4230/670,2190/392 is 30/131320
Least Common Multiple of 670,392 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 670,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,392) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,392) x common factors =2 x 1 = 2
LCM(670,392) = ( 670 × 392 ) / 2
LCM(670,392) = 262640 / 2
LCM(670,392) = 131320
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FAQs on GCF of Fractions of 4230/670, 2190/392
1. What is the HCF of 4230,2190?
The HCF of 4230,2190 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 4230/670, 2190/392?
Answer: GCF of Numerators as per given numbers 4230/670, 2190/392 is
GCF of Numerators i.e. for 4230,2190 is 30
LCM of denominators i.e. for 670,392 is 131320.
Thus, GCF of Fractions is 30/131320.Finally, GCF of Fractions for 4230/670, 2190/392 is 30/131320.