GCF of 5976/179, 7280/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5976/179, 7280/830 i.e 8/148570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5976/179, 7280/830.
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 5976/179,7280/830?
Given fractions are 5976/179,7280/830
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 5976/179,7280/830, numerators are 5976,7280
Denominators are 179,830
The GCF of 5976,7280 is 8 .
LCM of 179,830 is 148570.
The greatest common factor of 5976/179,7280/830 = [GCF of 5976,7280]/[LCM of 179,830]= 8/148570
Therefore, the GCF of 5976/179,7280/830 is 8/148570.
To find the highest common factor of 5976,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 5976,7280 is 8.
Lets's calculate GCF of 5976,7280
| 2 | 5976, 7280 |
| 2 | 2988, 3640 |
| 2 | 1494, 1820 |
| 747, 910 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5976,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 5976
:1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 5976,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 5976,7280 is 8.
Lets's calculate LCM of 179,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 148570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/148570
Therefore, the GCF of Fractions 5976/179,7280/830 is 8/148570
Least Common Multiple of 179,830 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 179,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,830) x common factors =1 x 1 = 1
LCM(179,830) = ( 179 × 830 ) / 1
LCM(179,830) = 148570 / 1
LCM(179,830) = 148570
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5976/179, 7280/830
1. What is the HCF of 5976,7280?
The HCF of 5976,7280 is 8
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 5976/179, 7280/830?
Answer: GCF of Numerators as per given numbers 5976/179, 7280/830 is
GCF of Numerators i.e. for 5976,7280 is 8
LCM of denominators i.e. for 179,830 is 148570.
Thus, GCF of Fractions is 8/148570.Finally, GCF of Fractions for 5976/179, 7280/830 is 8/148570.