GCF of 4293/890, 6474/7006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4293/890, 6474/7006 i.e 3/3117670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4293/890, 6474/7006.
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 4293/890,6474/7006?
Given fractions are 4293/890,6474/7006
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 4293/890,6474/7006, numerators are 4293,6474
Denominators are 890,7006
The GCF of 4293,6474 is 3 .
LCM of 890,7006 is 3117670.
The greatest common factor of 4293/890,6474/7006 = [GCF of 4293,6474]/[LCM of 890,7006]= 3/3117670
Therefore, the GCF of 4293/890,6474/7006 is 3/3117670.
To find the highest common factor of 4293,6474, we have to find the factors of both numbers and list the highest common factor.
The factors of 4293 are 1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293
The factors of 6474 are 1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 249, 498, 1079, 2158, 3237, 6474
The HCF of 4293,6474 is 3.
Lets's calculate GCF of 4293,6474
| 3 | 4293, 6474 |
| 1431, 2158 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4293,6474 By Matching Biggest Common Factor Method
Now, list down the factors of 4293
:1,3,9,27,53,81,159,477,1431,4293
Now, list down the factors of 6474
:1,2,3,6,13,26,39,78,83,166,249,498,1079,2158,3237,6474
Greatest Common Factor
We found the factors 4293,6474 . The biggest common factor number is the GCF number.
So the greatest common factor 4293,6474 is 3.
Lets's calculate LCM of 890,7006
| 2 | 890, 7006 |
| 445, 3503 |
∴ So the LCM of the given numbers is 2 x 445 x 3503 = 3117670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3117670
Therefore, the GCF of Fractions 4293/890,6474/7006 is 3/3117670
Least Common Multiple of 890,7006 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 890,7006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,7006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,7006) x common factors =2 x 1 = 2
LCM(890,7006) = ( 890 × 7006 ) / 2
LCM(890,7006) = 6235340 / 2
LCM(890,7006) = 3117670
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FAQs on GCF of Fractions of 4293/890, 6474/7006
1. What is the HCF of 4293,6474?
The HCF of 4293,6474 is 3
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 4293/890, 6474/7006?
Answer: GCF of Numerators as per given numbers 4293/890, 6474/7006 is
GCF of Numerators i.e. for 4293,6474 is 3
LCM of denominators i.e. for 890,7006 is 3117670.
Thus, GCF of Fractions is 3/3117670.Finally, GCF of Fractions for 4293/890, 6474/7006 is 3/3117670.