GCF of 949/780, 741/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/780, 741/624 i.e 13/3120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/780, 741/624.
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 949/780,741/624?
Given fractions are 949/780,741/624
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 949/780,741/624, numerators are 949,741
Denominators are 780,624
The GCF of 949,741 is 13 .
LCM of 780,624 is 3120.
The greatest common factor of 949/780,741/624 = [GCF of 949,741]/[LCM of 780,624]= 13/3120
Therefore, the GCF of 949/780,741/624 is 13/3120.
To find the highest common factor of 949,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 949,741 is 13.
Lets's calculate GCF of 949,741
| 13 | 949, 741 |
| 73, 57 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 949,741 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 949,741 . The biggest common factor number is the GCF number.
So the greatest common factor 949,741 is 13.
Lets's calculate LCM of 780,624
| 2 | 780, 624 |
| 2 | 390, 312 |
| 3 | 195, 156 |
| 13 | 65, 52 |
| 5, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 5 x 4 = 3120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3120
Therefore, the GCF of Fractions 949/780,741/624 is 13/3120
Least Common Multiple of 780,624 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 780,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,624) = 156
common factors(in case of two or more numbers have common factors) = 1
GCF(780,624) x common factors =156 x 1 = 156
LCM(780,624) = ( 780 × 624 ) / 156
LCM(780,624) = 486720 / 156
LCM(780,624) = 3120
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FAQs on GCF of Fractions of 949/780, 741/624
1. What is the HCF of 949,741?
The HCF of 949,741 is 13
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 949/780, 741/624?
Answer: GCF of Numerators as per given numbers 949/780, 741/624 is
GCF of Numerators i.e. for 949,741 is 13
LCM of denominators i.e. for 780,624 is 3120.
Thus, GCF of Fractions is 13/3120.Finally, GCF of Fractions for 949/780, 741/624 is 13/3120.