GCF of 4710/749, 6180/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4710/749, 6180/756 i.e 30/80892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4710/749, 6180/756.
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 4710/749,6180/756?
Given fractions are 4710/749,6180/756
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 4710/749,6180/756, numerators are 4710,6180
Denominators are 749,756
The GCF of 4710,6180 is 30 .
LCM of 749,756 is 80892.
The greatest common factor of 4710/749,6180/756 = [GCF of 4710,6180]/[LCM of 749,756]= 30/80892
Therefore, the GCF of 4710/749,6180/756 is 30/80892.
To find the highest common factor of 4710,6180, we have to find the factors of both numbers and list the highest common factor.
The factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
The factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180
The HCF of 4710,6180 is 30.
Lets's calculate GCF of 4710,6180
| 2 | 4710, 6180 |
| 3 | 2355, 3090 |
| 5 | 785, 1030 |
| 157, 206 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4710,6180 By Matching Biggest Common Factor Method
Now, list down the factors of 4710
:1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710
Now, list down the factors of 6180
:1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180
Greatest Common Factor
We found the factors 4710,6180 . The biggest common factor number is the GCF number.
So the greatest common factor 4710,6180 is 30.
Lets's calculate LCM of 749,756
| 7 | 749, 756 |
| 107, 108 |
∴ So the LCM of the given numbers is 7 x 107 x 108 = 80892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/80892
Therefore, the GCF of Fractions 4710/749,6180/756 is 30/80892
Least Common Multiple of 749,756 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 749,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,756) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,756) x common factors =7 x 1 = 7
LCM(749,756) = ( 749 × 756 ) / 7
LCM(749,756) = 566244 / 7
LCM(749,756) = 80892
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FAQs on GCF of Fractions of 4710/749, 6180/756
1. What is the HCF of 4710,6180?
The HCF of 4710,6180 is 30
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 4710/749, 6180/756?
Answer: GCF of Numerators as per given numbers 4710/749, 6180/756 is
GCF of Numerators i.e. for 4710,6180 is 30
LCM of denominators i.e. for 749,756 is 80892.
Thus, GCF of Fractions is 30/80892.Finally, GCF of Fractions for 4710/749, 6180/756 is 30/80892.