GCF of 7018/172, 3850/4752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/172, 3850/4752 i.e 22/204336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/172, 3850/4752.
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 7018/172,3850/4752?
Given fractions are 7018/172,3850/4752
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 7018/172,3850/4752, numerators are 7018,3850
Denominators are 172,4752
The GCF of 7018,3850 is 22 .
LCM of 172,4752 is 204336.
The greatest common factor of 7018/172,3850/4752 = [GCF of 7018,3850]/[LCM of 172,4752]= 22/204336
Therefore, the GCF of 7018/172,3850/4752 is 22/204336.
To find the highest common factor of 7018,3850, we have to find the factors of both numbers and list the highest common factor.
The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018
The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850
The HCF of 7018,3850 is 22.
Lets's calculate GCF of 7018,3850
| 2 | 7018, 3850 |
| 11 | 3509, 1925 |
| 319, 175 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 7018,3850 By Matching Biggest Common Factor Method
Now, list down the factors of 7018
:1,2,11,22,29,58,121,242,319,638,3509,7018
Now, list down the factors of 3850
:1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850
Greatest Common Factor
We found the factors 7018,3850 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,3850 is 22.
Lets's calculate LCM of 172,4752
| 2 | 172, 4752 |
| 2 | 86, 2376 |
| 43, 1188 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 1188 = 204336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/204336
Therefore, the GCF of Fractions 7018/172,3850/4752 is 22/204336
Least Common Multiple of 172,4752 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 172,4752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,4752) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,4752) x common factors =4 x 1 = 4
LCM(172,4752) = ( 172 × 4752 ) / 4
LCM(172,4752) = 817344 / 4
LCM(172,4752) = 204336
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FAQs on GCF of Fractions of 7018/172, 3850/4752
1. What is the HCF of 7018,3850?
The HCF of 7018,3850 is 22
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 7018/172, 3850/4752?
Answer: GCF of Numerators as per given numbers 7018/172, 3850/4752 is
GCF of Numerators i.e. for 7018,3850 is 22
LCM of denominators i.e. for 172,4752 is 204336.
Thus, GCF of Fractions is 22/204336.Finally, GCF of Fractions for 7018/172, 3850/4752 is 22/204336.