GCF of 7429/872, 4102/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7429/872, 4102/116 i.e 1/25288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7429/872, 4102/116.
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 7429/872,4102/116?
Given fractions are 7429/872,4102/116
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 7429/872,4102/116, numerators are 7429,4102
Denominators are 872,116
The GCF of 7429,4102 is 1 .
LCM of 872,116 is 25288.
The greatest common factor of 7429/872,4102/116 = [GCF of 7429,4102]/[LCM of 872,116]= 1/25288
Therefore, the GCF of 7429/872,4102/116 is 1/25288.
To find the highest common factor of 7429,4102, we have to find the factors of both numbers and list the highest common factor.
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429
The factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102
The HCF of 7429,4102 is 1.
Lets's calculate GCF of 7429,4102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7429,4102 By Matching Biggest Common Factor Method
Now, list down the factors of 7429
:1,17,19,23,323,391,437,7429
Now, list down the factors of 4102
:1,2,7,14,293,586,2051,4102
Greatest Common Factor
We found the factors 7429,4102 . The biggest common factor number is the GCF number.
So the greatest common factor 7429,4102 is 1.
Lets's calculate LCM of 872,116
| 2 | 872, 116 |
| 2 | 436, 58 |
| 218, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 29 = 25288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25288
Therefore, the GCF of Fractions 7429/872,4102/116 is 1/25288
Least Common Multiple of 872,116 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 872,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,116) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,116) x common factors =4 x 1 = 4
LCM(872,116) = ( 872 × 116 ) / 4
LCM(872,116) = 101152 / 4
LCM(872,116) = 25288
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FAQs on GCF of Fractions of 7429/872, 4102/116
1. What is the HCF of 7429,4102?
The HCF of 7429,4102 is 1
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 7429/872, 4102/116?
Answer: GCF of Numerators as per given numbers 7429/872, 4102/116 is
GCF of Numerators i.e. for 7429,4102 is 1
LCM of denominators i.e. for 872,116 is 25288.
Thus, GCF of Fractions is 1/25288.Finally, GCF of Fractions for 7429/872, 4102/116 is 1/25288.