GCF of 1260/257, 3042/9047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1260/257, 3042/9047 i.e 18/2325079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1260/257, 3042/9047.
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 1260/257,3042/9047?
Given fractions are 1260/257,3042/9047
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 1260/257,3042/9047, numerators are 1260,3042
Denominators are 257,9047
The GCF of 1260,3042 is 18 .
LCM of 257,9047 is 2325079.
The greatest common factor of 1260/257,3042/9047 = [GCF of 1260,3042]/[LCM of 257,9047]= 18/2325079
Therefore, the GCF of 1260/257,3042/9047 is 18/2325079.
To find the highest common factor of 1260,3042, we have to find the factors of both numbers and list the highest common factor.
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
The factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042
The HCF of 1260,3042 is 18.
Lets's calculate GCF of 1260,3042
| 2 | 1260, 3042 |
| 3 | 630, 1521 |
| 3 | 210, 507 |
| 70, 169 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1260,3042 By Matching Biggest Common Factor Method
Now, list down the factors of 1260
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Now, list down the factors of 3042
:1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042
Greatest Common Factor
We found the factors 1260,3042 . The biggest common factor number is the GCF number.
So the greatest common factor 1260,3042 is 18.
Lets's calculate LCM of 257,9047
Given numbers has no common factors except 1. So, there LCM is their product i.e 2325079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2325079
Therefore, the GCF of Fractions 1260/257,3042/9047 is 18/2325079
Least Common Multiple of 257,9047 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 257,9047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,9047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,9047) x common factors =1 x 1 = 1
LCM(257,9047) = ( 257 × 9047 ) / 1
LCM(257,9047) = 2325079 / 1
LCM(257,9047) = 2325079
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FAQs on GCF of Fractions of 1260/257, 3042/9047
1. What is the HCF of 1260,3042?
The HCF of 1260,3042 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 1260/257, 3042/9047?
Answer: GCF of Numerators as per given numbers 1260/257, 3042/9047 is
GCF of Numerators i.e. for 1260,3042 is 18
LCM of denominators i.e. for 257,9047 is 2325079.
Thus, GCF of Fractions is 18/2325079.Finally, GCF of Fractions for 1260/257, 3042/9047 is 18/2325079.