GCF of 3906/675, 6027/7203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3906/675, 6027/7203 i.e 21/1620675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3906/675, 6027/7203.
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 3906/675,6027/7203?
Given fractions are 3906/675,6027/7203
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 3906/675,6027/7203, numerators are 3906,6027
Denominators are 675,7203
The GCF of 3906,6027 is 21 .
LCM of 675,7203 is 1620675.
The greatest common factor of 3906/675,6027/7203 = [GCF of 3906,6027]/[LCM of 675,7203]= 21/1620675
Therefore, the GCF of 3906/675,6027/7203 is 21/1620675.
To find the highest common factor of 3906,6027, we have to find the factors of both numbers and list the highest common factor.
The factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The HCF of 3906,6027 is 21.
Lets's calculate GCF of 3906,6027
| 3 | 3906, 6027 |
| 7 | 1302, 2009 |
| 186, 287 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 3906,6027 By Matching Biggest Common Factor Method
Now, list down the factors of 3906
:1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 3906,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,6027 is 21.
Lets's calculate LCM of 675,7203
| 3 | 675, 7203 |
| 225, 2401 |
∴ So the LCM of the given numbers is 3 x 225 x 2401 = 1620675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1620675
Therefore, the GCF of Fractions 3906/675,6027/7203 is 21/1620675
Least Common Multiple of 675,7203 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 675,7203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,7203) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(675,7203) x common factors =3 x 1 = 3
LCM(675,7203) = ( 675 × 7203 ) / 3
LCM(675,7203) = 4862025 / 3
LCM(675,7203) = 1620675
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FAQs on GCF of Fractions of 3906/675, 6027/7203
1. What is the HCF of 3906,6027?
The HCF of 3906,6027 is 21
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 3906/675, 6027/7203?
Answer: GCF of Numerators as per given numbers 3906/675, 6027/7203 is
GCF of Numerators i.e. for 3906,6027 is 21
LCM of denominators i.e. for 675,7203 is 1620675.
Thus, GCF of Fractions is 21/1620675.Finally, GCF of Fractions for 3906/675, 6027/7203 is 21/1620675.