GCF of 4176/348, 1102/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4176/348, 1102/998 i.e 58/173652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4176/348, 1102/998.
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 4176/348,1102/998?
Given fractions are 4176/348,1102/998
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 4176/348,1102/998, numerators are 4176,1102
Denominators are 348,998
The GCF of 4176,1102 is 58 .
LCM of 348,998 is 173652.
The greatest common factor of 4176/348,1102/998 = [GCF of 4176,1102]/[LCM of 348,998]= 58/173652
Therefore, the GCF of 4176/348,1102/998 is 58/173652.
To find the highest common factor of 4176,1102, we have to find the factors of both numbers and list the highest common factor.
The factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The HCF of 4176,1102 is 58.
Lets's calculate GCF of 4176,1102
| 2 | 4176, 1102 |
| 29 | 2088, 551 |
| 72, 19 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 4176,1102 By Matching Biggest Common Factor Method
Now, list down the factors of 4176
:1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors 4176,1102 . The biggest common factor number is the GCF number.
So the greatest common factor 4176,1102 is 58.
Lets's calculate LCM of 348,998
| 2 | 348, 998 |
| 174, 499 |
∴ So the LCM of the given numbers is 2 x 174 x 499 = 173652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/173652
Therefore, the GCF of Fractions 4176/348,1102/998 is 58/173652
Least Common Multiple of 348,998 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 348,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(348,998) x common factors =2 x 1 = 2
LCM(348,998) = ( 348 × 998 ) / 2
LCM(348,998) = 347304 / 2
LCM(348,998) = 173652
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4176/348, 1102/998
1. What is the HCF of 4176,1102?
The HCF of 4176,1102 is 58
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 4176/348, 1102/998?
Answer: GCF of Numerators as per given numbers 4176/348, 1102/998 is
GCF of Numerators i.e. for 4176,1102 is 58
LCM of denominators i.e. for 348,998 is 173652.
Thus, GCF of Fractions is 58/173652.Finally, GCF of Fractions for 4176/348, 1102/998 is 58/173652.