GCF of 1752/173, 7980/332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1752/173, 7980/332 i.e 12/57436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1752/173, 7980/332.
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 1752/173,7980/332?
Given fractions are 1752/173,7980/332
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 1752/173,7980/332, numerators are 1752,7980
Denominators are 173,332
The GCF of 1752,7980 is 12 .
LCM of 173,332 is 57436.
The greatest common factor of 1752/173,7980/332 = [GCF of 1752,7980]/[LCM of 173,332]= 12/57436
Therefore, the GCF of 1752/173,7980/332 is 12/57436.
To find the highest common factor of 1752,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The HCF of 1752,7980 is 12.
Lets's calculate GCF of 1752,7980
| 2 | 1752, 7980 |
| 2 | 876, 3990 |
| 3 | 438, 1995 |
| 146, 665 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1752,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 1752
:1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Greatest Common Factor
We found the factors 1752,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 1752,7980 is 12.
Lets's calculate LCM of 173,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 57436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/57436
Therefore, the GCF of Fractions 1752/173,7980/332 is 12/57436
Least Common Multiple of 173,332 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 173,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,332) x common factors =1 x 1 = 1
LCM(173,332) = ( 173 × 332 ) / 1
LCM(173,332) = 57436 / 1
LCM(173,332) = 57436
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FAQs on GCF of Fractions of 1752/173, 7980/332
1. What is the HCF of 1752,7980?
The HCF of 1752,7980 is 12
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 1752/173, 7980/332?
Answer: GCF of Numerators as per given numbers 1752/173, 7980/332 is
GCF of Numerators i.e. for 1752,7980 is 12
LCM of denominators i.e. for 173,332 is 57436.
Thus, GCF of Fractions is 12/57436.Finally, GCF of Fractions for 1752/173, 7980/332 is 12/57436.