GCF of 904/180, 352/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 904/180, 352/419 i.e 8/75420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/180, 352/419.
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 904/180,352/419?
Given fractions are 904/180,352/419
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 904/180,352/419, numerators are 904,352
Denominators are 180,419
The GCF of 904,352 is 8 .
LCM of 180,419 is 75420.
The greatest common factor of 904/180,352/419 = [GCF of 904,352]/[LCM of 180,419]= 8/75420
Therefore, the GCF of 904/180,352/419 is 8/75420.
To find the highest common factor of 904,352, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 904,352 is 8.
Lets's calculate GCF of 904,352
| 2 | 904, 352 |
| 2 | 452, 176 |
| 2 | 226, 88 |
| 113, 44 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 904,352 By Matching Biggest Common Factor Method
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 904,352 . The biggest common factor number is the GCF number.
So the greatest common factor 904,352 is 8.
Lets's calculate LCM of 180,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 75420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/75420
Therefore, the GCF of Fractions 904/180,352/419 is 8/75420
Least Common Multiple of 180,419 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 180,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,419) x common factors =1 x 1 = 1
LCM(180,419) = ( 180 × 419 ) / 1
LCM(180,419) = 75420 / 1
LCM(180,419) = 75420
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FAQs on GCF of Fractions of 904/180, 352/419
1. What is the HCF of 904,352?
The HCF of 904,352 is 8
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 904/180, 352/419?
Answer: GCF of Numerators as per given numbers 904/180, 352/419 is
GCF of Numerators i.e. for 904,352 is 8
LCM of denominators i.e. for 180,419 is 75420.
Thus, GCF of Fractions is 8/75420.Finally, GCF of Fractions for 904/180, 352/419 is 8/75420.