GCF of 5425/558, 3800/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5425/558, 3800/907 i.e 25/506106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5425/558, 3800/907.
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 5425/558,3800/907?
Given fractions are 5425/558,3800/907
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 5425/558,3800/907, numerators are 5425,3800
Denominators are 558,907
The GCF of 5425,3800 is 25 .
LCM of 558,907 is 506106.
The greatest common factor of 5425/558,3800/907 = [GCF of 5425,3800]/[LCM of 558,907]= 25/506106
Therefore, the GCF of 5425/558,3800/907 is 25/506106.
To find the highest common factor of 5425,3800, we have to find the factors of both numbers and list the highest common factor.
The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
The HCF of 5425,3800 is 25.
Lets's calculate GCF of 5425,3800
| 5 | 5425, 3800 |
| 5 | 1085, 760 |
| 217, 152 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 5425,3800 By Matching Biggest Common Factor Method
Now, list down the factors of 5425
:1,5,7,25,31,35,155,175,217,775,1085,5425
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Greatest Common Factor
We found the factors 5425,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,3800 is 25.
Lets's calculate LCM of 558,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 506106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/506106
Therefore, the GCF of Fractions 5425/558,3800/907 is 25/506106
Least Common Multiple of 558,907 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 558,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,907) x common factors =1 x 1 = 1
LCM(558,907) = ( 558 × 907 ) / 1
LCM(558,907) = 506106 / 1
LCM(558,907) = 506106
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FAQs on GCF of Fractions of 5425/558, 3800/907
1. What is the HCF of 5425,3800?
The HCF of 5425,3800 is 25
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 5425/558, 3800/907?
Answer: GCF of Numerators as per given numbers 5425/558, 3800/907 is
GCF of Numerators i.e. for 5425,3800 is 25
LCM of denominators i.e. for 558,907 is 506106.
Thus, GCF of Fractions is 25/506106.Finally, GCF of Fractions for 5425/558, 3800/907 is 25/506106.