GCF of 4225/187, 7890/3646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4225/187, 7890/3646 i.e 5/681802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4225/187, 7890/3646.
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 4225/187,7890/3646?
Given fractions are 4225/187,7890/3646
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 4225/187,7890/3646, numerators are 4225,7890
Denominators are 187,3646
The GCF of 4225,7890 is 5 .
LCM of 187,3646 is 681802.
The greatest common factor of 4225/187,7890/3646 = [GCF of 4225,7890]/[LCM of 187,3646]= 5/681802
Therefore, the GCF of 4225/187,7890/3646 is 5/681802.
To find the highest common factor of 4225,7890, we have to find the factors of both numbers and list the highest common factor.
The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The HCF of 4225,7890 is 5.
Lets's calculate GCF of 4225,7890
| 5 | 4225, 7890 |
| 845, 1578 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4225,7890 By Matching Biggest Common Factor Method
Now, list down the factors of 4225
:1,5,13,25,65,169,325,845,4225
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 4225,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 4225,7890 is 5.
Lets's calculate LCM of 187,3646
Given numbers has no common factors except 1. So, there LCM is their product i.e 681802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/681802
Therefore, the GCF of Fractions 4225/187,7890/3646 is 5/681802
Least Common Multiple of 187,3646 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 187,3646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,3646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,3646) x common factors =1 x 1 = 1
LCM(187,3646) = ( 187 × 3646 ) / 1
LCM(187,3646) = 681802 / 1
LCM(187,3646) = 681802
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4225/187, 7890/3646
1. What is the HCF of 4225,7890?
The HCF of 4225,7890 is 5
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 4225/187, 7890/3646?
Answer: GCF of Numerators as per given numbers 4225/187, 7890/3646 is
GCF of Numerators i.e. for 4225,7890 is 5
LCM of denominators i.e. for 187,3646 is 681802.
Thus, GCF of Fractions is 5/681802.Finally, GCF of Fractions for 4225/187, 7890/3646 is 5/681802.