GCF of 1807/975, 4122/7505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1807/975, 4122/7505 i.e 1/1463475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1807/975, 4122/7505.
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 1807/975,4122/7505?
Given fractions are 1807/975,4122/7505
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 1807/975,4122/7505, numerators are 1807,4122
Denominators are 975,7505
The GCF of 1807,4122 is 1 .
LCM of 975,7505 is 1463475.
The greatest common factor of 1807/975,4122/7505 = [GCF of 1807,4122]/[LCM of 975,7505]= 1/1463475
Therefore, the GCF of 1807/975,4122/7505 is 1/1463475.
To find the highest common factor of 1807,4122, we have to find the factors of both numbers and list the highest common factor.
The factors of 1807 are 1, 13, 139, 1807
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The HCF of 1807,4122 is 1.
Lets's calculate GCF of 1807,4122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1807,4122 By Matching Biggest Common Factor Method
Now, list down the factors of 1807
:1,13,139,1807
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 1807,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 1807,4122 is 1.
Lets's calculate LCM of 975,7505
| 5 | 975, 7505 |
| 195, 1501 |
∴ So the LCM of the given numbers is 5 x 195 x 1501 = 1463475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1463475
Therefore, the GCF of Fractions 1807/975,4122/7505 is 1/1463475
Least Common Multiple of 975,7505 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 975,7505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,7505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,7505) x common factors =5 x 1 = 5
LCM(975,7505) = ( 975 × 7505 ) / 5
LCM(975,7505) = 7317375 / 5
LCM(975,7505) = 1463475
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FAQs on GCF of Fractions of 1807/975, 4122/7505
1. What is the HCF of 1807,4122?
The HCF of 1807,4122 is 1
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 1807/975, 4122/7505?
Answer: GCF of Numerators as per given numbers 1807/975, 4122/7505 is
GCF of Numerators i.e. for 1807,4122 is 1
LCM of denominators i.e. for 975,7505 is 1463475.
Thus, GCF of Fractions is 1/1463475.Finally, GCF of Fractions for 1807/975, 4122/7505 is 1/1463475.