GCF of 6426/670, 4464/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6426/670, 4464/174 i.e 18/58290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6426/670, 4464/174.
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 6426/670,4464/174?
Given fractions are 6426/670,4464/174
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 6426/670,4464/174, numerators are 6426,4464
Denominators are 670,174
The GCF of 6426,4464 is 18 .
LCM of 670,174 is 58290.
The greatest common factor of 6426/670,4464/174 = [GCF of 6426,4464]/[LCM of 670,174]= 18/58290
Therefore, the GCF of 6426/670,4464/174 is 18/58290.
To find the highest common factor of 6426,4464, we have to find the factors of both numbers and list the highest common factor.
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464
The HCF of 6426,4464 is 18.
Lets's calculate GCF of 6426,4464
| 2 | 6426, 4464 |
| 3 | 3213, 2232 |
| 3 | 1071, 744 |
| 357, 248 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 6426,4464 By Matching Biggest Common Factor Method
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Now, list down the factors of 4464
:1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464
Greatest Common Factor
We found the factors 6426,4464 . The biggest common factor number is the GCF number.
So the greatest common factor 6426,4464 is 18.
Lets's calculate LCM of 670,174
| 2 | 670, 174 |
| 335, 87 |
∴ So the LCM of the given numbers is 2 x 335 x 87 = 58290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/58290
Therefore, the GCF of Fractions 6426/670,4464/174 is 18/58290
Least Common Multiple of 670,174 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 670,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,174) x common factors =2 x 1 = 2
LCM(670,174) = ( 670 × 174 ) / 2
LCM(670,174) = 116580 / 2
LCM(670,174) = 58290
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FAQs on GCF of Fractions of 6426/670, 4464/174
1. What is the HCF of 6426,4464?
The HCF of 6426,4464 is 18
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 6426/670, 4464/174?
Answer: GCF of Numerators as per given numbers 6426/670, 4464/174 is
GCF of Numerators i.e. for 6426,4464 is 18
LCM of denominators i.e. for 670,174 is 58290.
Thus, GCF of Fractions is 18/58290.Finally, GCF of Fractions for 6426/670, 4464/174 is 18/58290.