GCF of 7180/712, 2264/1925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7180/712, 2264/1925 i.e 4/1370600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7180/712, 2264/1925.
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 7180/712,2264/1925?
Given fractions are 7180/712,2264/1925
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 7180/712,2264/1925, numerators are 7180,2264
Denominators are 712,1925
The GCF of 7180,2264 is 4 .
LCM of 712,1925 is 1370600.
The greatest common factor of 7180/712,2264/1925 = [GCF of 7180,2264]/[LCM of 712,1925]= 4/1370600
Therefore, the GCF of 7180/712,2264/1925 is 4/1370600.
To find the highest common factor of 7180,2264, we have to find the factors of both numbers and list the highest common factor.
The factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The HCF of 7180,2264 is 4.
Lets's calculate GCF of 7180,2264
| 2 | 7180, 2264 |
| 2 | 3590, 1132 |
| 1795, 566 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7180,2264 By Matching Biggest Common Factor Method
Now, list down the factors of 7180
:1,2,4,5,10,20,359,718,1436,1795,3590,7180
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Greatest Common Factor
We found the factors 7180,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 7180,2264 is 4.
Lets's calculate LCM of 712,1925
Given numbers has no common factors except 1. So, there LCM is their product i.e 1370600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1370600
Therefore, the GCF of Fractions 7180/712,2264/1925 is 4/1370600
Least Common Multiple of 712,1925 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 712,1925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,1925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(712,1925) x common factors =1 x 1 = 1
LCM(712,1925) = ( 712 × 1925 ) / 1
LCM(712,1925) = 1370600 / 1
LCM(712,1925) = 1370600
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FAQs on GCF of Fractions of 7180/712, 2264/1925
1. What is the HCF of 7180,2264?
The HCF of 7180,2264 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 7180/712, 2264/1925?
Answer: GCF of Numerators as per given numbers 7180/712, 2264/1925 is
GCF of Numerators i.e. for 7180,2264 is 4
LCM of denominators i.e. for 712,1925 is 1370600.
Thus, GCF of Fractions is 4/1370600.Finally, GCF of Fractions for 7180/712, 2264/1925 is 4/1370600.