GCF of 5924/900, 4304/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5924/900, 4304/914 i.e 4/411300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5924/900, 4304/914.
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 5924/900,4304/914?
Given fractions are 5924/900,4304/914
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 5924/900,4304/914, numerators are 5924,4304
Denominators are 900,914
The GCF of 5924,4304 is 4 .
LCM of 900,914 is 411300.
The greatest common factor of 5924/900,4304/914 = [GCF of 5924,4304]/[LCM of 900,914]= 4/411300
Therefore, the GCF of 5924/900,4304/914 is 4/411300.
To find the highest common factor of 5924,4304, we have to find the factors of both numbers and list the highest common factor.
The factors of 5924 are 1, 2, 4, 1481, 2962, 5924
The factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304
The HCF of 5924,4304 is 4.
Lets's calculate GCF of 5924,4304
| 2 | 5924, 4304 |
| 2 | 2962, 2152 |
| 1481, 1076 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5924,4304 By Matching Biggest Common Factor Method
Now, list down the factors of 5924
:1,2,4,1481,2962,5924
Now, list down the factors of 4304
:1,2,4,8,16,269,538,1076,2152,4304
Greatest Common Factor
We found the factors 5924,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 5924,4304 is 4.
Lets's calculate LCM of 900,914
| 2 | 900, 914 |
| 450, 457 |
∴ So the LCM of the given numbers is 2 x 450 x 457 = 411300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/411300
Therefore, the GCF of Fractions 5924/900,4304/914 is 4/411300
Least Common Multiple of 900,914 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 900,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(900,914) x common factors =2 x 1 = 2
LCM(900,914) = ( 900 × 914 ) / 2
LCM(900,914) = 822600 / 2
LCM(900,914) = 411300
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FAQs on GCF of Fractions of 5924/900, 4304/914
1. What is the HCF of 5924,4304?
The HCF of 5924,4304 is 4
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 5924/900, 4304/914?
Answer: GCF of Numerators as per given numbers 5924/900, 4304/914 is
GCF of Numerators i.e. for 5924,4304 is 4
LCM of denominators i.e. for 900,914 is 411300.
Thus, GCF of Fractions is 4/411300.Finally, GCF of Fractions for 5924/900, 4304/914 is 4/411300.