GCF of 9002/210, 2604/7145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9002/210, 2604/7145 i.e 14/300090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9002/210, 2604/7145.
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 9002/210,2604/7145?
Given fractions are 9002/210,2604/7145
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 9002/210,2604/7145, numerators are 9002,2604
Denominators are 210,7145
The GCF of 9002,2604 is 14 .
LCM of 210,7145 is 300090.
The greatest common factor of 9002/210,2604/7145 = [GCF of 9002,2604]/[LCM of 210,7145]= 14/300090
Therefore, the GCF of 9002/210,2604/7145 is 14/300090.
To find the highest common factor of 9002,2604, we have to find the factors of both numbers and list the highest common factor.
The factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002
The factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The HCF of 9002,2604 is 14.
Lets's calculate GCF of 9002,2604
| 2 | 9002, 2604 |
| 7 | 4501, 1302 |
| 643, 186 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9002,2604 By Matching Biggest Common Factor Method
Now, list down the factors of 9002
:1,2,7,14,643,1286,4501,9002
Now, list down the factors of 2604
:1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604
Greatest Common Factor
We found the factors 9002,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 9002,2604 is 14.
Lets's calculate LCM of 210,7145
| 5 | 210, 7145 |
| 42, 1429 |
∴ So the LCM of the given numbers is 5 x 42 x 1429 = 300090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/300090
Therefore, the GCF of Fractions 9002/210,2604/7145 is 14/300090
Least Common Multiple of 210,7145 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 210,7145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,7145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(210,7145) x common factors =5 x 1 = 5
LCM(210,7145) = ( 210 × 7145 ) / 5
LCM(210,7145) = 1500450 / 5
LCM(210,7145) = 300090
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FAQs on GCF of Fractions of 9002/210, 2604/7145
1. What is the HCF of 9002,2604?
The HCF of 9002,2604 is 14
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 9002/210, 2604/7145?
Answer: GCF of Numerators as per given numbers 9002/210, 2604/7145 is
GCF of Numerators i.e. for 9002,2604 is 14
LCM of denominators i.e. for 210,7145 is 300090.
Thus, GCF of Fractions is 14/300090.Finally, GCF of Fractions for 9002/210, 2604/7145 is 14/300090.