GCF of 6260/154, 7182/9140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6260/154, 7182/9140 i.e 2/703780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6260/154, 7182/9140.
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 6260/154,7182/9140?
Given fractions are 6260/154,7182/9140
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 6260/154,7182/9140, numerators are 6260,7182
Denominators are 154,9140
The GCF of 6260,7182 is 2 .
LCM of 154,9140 is 703780.
The greatest common factor of 6260/154,7182/9140 = [GCF of 6260,7182]/[LCM of 154,9140]= 2/703780
Therefore, the GCF of 6260/154,7182/9140 is 2/703780.
To find the highest common factor of 6260,7182, we have to find the factors of both numbers and list the highest common factor.
The factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260
The factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
The HCF of 6260,7182 is 2.
Lets's calculate GCF of 6260,7182
| 2 | 6260, 7182 |
| 3130, 3591 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6260,7182 By Matching Biggest Common Factor Method
Now, list down the factors of 6260
:1,2,4,5,10,20,313,626,1252,1565,3130,6260
Now, list down the factors of 7182
:1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Greatest Common Factor
We found the factors 6260,7182 . The biggest common factor number is the GCF number.
So the greatest common factor 6260,7182 is 2.
Lets's calculate LCM of 154,9140
| 2 | 154, 9140 |
| 77, 4570 |
∴ So the LCM of the given numbers is 2 x 77 x 4570 = 703780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/703780
Therefore, the GCF of Fractions 6260/154,7182/9140 is 2/703780
Least Common Multiple of 154,9140 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 154,9140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,9140) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,9140) x common factors =2 x 1 = 2
LCM(154,9140) = ( 154 × 9140 ) / 2
LCM(154,9140) = 1407560 / 2
LCM(154,9140) = 703780
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FAQs on GCF of Fractions of 6260/154, 7182/9140
1. What is the HCF of 6260,7182?
The HCF of 6260,7182 is 2
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 6260/154, 7182/9140?
Answer: GCF of Numerators as per given numbers 6260/154, 7182/9140 is
GCF of Numerators i.e. for 6260,7182 is 2
LCM of denominators i.e. for 154,9140 is 703780.
Thus, GCF of Fractions is 2/703780.Finally, GCF of Fractions for 6260/154, 7182/9140 is 2/703780.