GCF of 7488/176, 4251/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7488/176, 4251/413 i.e 39/72688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7488/176, 4251/413.
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 7488/176,4251/413?
Given fractions are 7488/176,4251/413
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 7488/176,4251/413, numerators are 7488,4251
Denominators are 176,413
The GCF of 7488,4251 is 39 .
LCM of 176,413 is 72688.
The greatest common factor of 7488/176,4251/413 = [GCF of 7488,4251]/[LCM of 176,413]= 39/72688
Therefore, the GCF of 7488/176,4251/413 is 39/72688.
To find the highest common factor of 7488,4251, we have to find the factors of both numbers and list the highest common factor.
The factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488
The factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251
The HCF of 7488,4251 is 39.
Lets's calculate GCF of 7488,4251
| 3 | 7488, 4251 |
| 13 | 2496, 1417 |
| 192, 109 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 7488,4251 By Matching Biggest Common Factor Method
Now, list down the factors of 7488
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488
Now, list down the factors of 4251
:1,3,13,39,109,327,1417,4251
Greatest Common Factor
We found the factors 7488,4251 . The biggest common factor number is the GCF number.
So the greatest common factor 7488,4251 is 39.
Lets's calculate LCM of 176,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 72688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/72688
Therefore, the GCF of Fractions 7488/176,4251/413 is 39/72688
Least Common Multiple of 176,413 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 176,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,413) x common factors =1 x 1 = 1
LCM(176,413) = ( 176 × 413 ) / 1
LCM(176,413) = 72688 / 1
LCM(176,413) = 72688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7488/176, 4251/413
1. What is the HCF of 7488,4251?
The HCF of 7488,4251 is 39
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 7488/176, 4251/413?
Answer: GCF of Numerators as per given numbers 7488/176, 4251/413 is
GCF of Numerators i.e. for 7488,4251 is 39
LCM of denominators i.e. for 176,413 is 72688.
Thus, GCF of Fractions is 39/72688.Finally, GCF of Fractions for 7488/176, 4251/413 is 39/72688.