GCF of 2949/730, 5570/7855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2949/730, 5570/7855 i.e 1/1146830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2949/730, 5570/7855.
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 2949/730,5570/7855?
Given fractions are 2949/730,5570/7855
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 2949/730,5570/7855, numerators are 2949,5570
Denominators are 730,7855
The GCF of 2949,5570 is 1 .
LCM of 730,7855 is 1146830.
The greatest common factor of 2949/730,5570/7855 = [GCF of 2949,5570]/[LCM of 730,7855]= 1/1146830
Therefore, the GCF of 2949/730,5570/7855 is 1/1146830.
To find the highest common factor of 2949,5570, we have to find the factors of both numbers and list the highest common factor.
The factors of 2949 are 1, 3, 983, 2949
The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570
The HCF of 2949,5570 is 1.
Lets's calculate GCF of 2949,5570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2949,5570 By Matching Biggest Common Factor Method
Now, list down the factors of 2949
:1,3,983,2949
Now, list down the factors of 5570
:1,2,5,10,557,1114,2785,5570
Greatest Common Factor
We found the factors 2949,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 2949,5570 is 1.
Lets's calculate LCM of 730,7855
| 5 | 730, 7855 |
| 146, 1571 |
∴ So the LCM of the given numbers is 5 x 146 x 1571 = 1146830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1146830
Therefore, the GCF of Fractions 2949/730,5570/7855 is 1/1146830
Least Common Multiple of 730,7855 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 730,7855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,7855) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(730,7855) x common factors =5 x 1 = 5
LCM(730,7855) = ( 730 × 7855 ) / 5
LCM(730,7855) = 5734150 / 5
LCM(730,7855) = 1146830
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FAQs on GCF of Fractions of 2949/730, 5570/7855
1. What is the HCF of 2949,5570?
The HCF of 2949,5570 is 1
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 2949/730, 5570/7855?
Answer: GCF of Numerators as per given numbers 2949/730, 5570/7855 is
GCF of Numerators i.e. for 2949,5570 is 1
LCM of denominators i.e. for 730,7855 is 1146830.
Thus, GCF of Fractions is 1/1146830.Finally, GCF of Fractions for 2949/730, 5570/7855 is 1/1146830.