GCF of 6175/251, 7562/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6175/251, 7562/189 i.e 19/47439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6175/251, 7562/189.
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 6175/251,7562/189?
Given fractions are 6175/251,7562/189
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 6175/251,7562/189, numerators are 6175,7562
Denominators are 251,189
The GCF of 6175,7562 is 19 .
LCM of 251,189 is 47439.
The greatest common factor of 6175/251,7562/189 = [GCF of 6175,7562]/[LCM of 251,189]= 19/47439
Therefore, the GCF of 6175/251,7562/189 is 19/47439.
To find the highest common factor of 6175,7562, we have to find the factors of both numbers and list the highest common factor.
The factors of 6175 are 1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175
The factors of 7562 are 1, 2, 19, 38, 199, 398, 3781, 7562
The HCF of 6175,7562 is 19.
Lets's calculate GCF of 6175,7562
| 19 | 6175, 7562 |
| 325, 398 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 6175,7562 By Matching Biggest Common Factor Method
Now, list down the factors of 6175
:1,5,13,19,25,65,95,247,325,475,1235,6175
Now, list down the factors of 7562
:1,2,19,38,199,398,3781,7562
Greatest Common Factor
We found the factors 6175,7562 . The biggest common factor number is the GCF number.
So the greatest common factor 6175,7562 is 19.
Lets's calculate LCM of 251,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 47439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/47439
Therefore, the GCF of Fractions 6175/251,7562/189 is 19/47439
Least Common Multiple of 251,189 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 251,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,189) x common factors =1 x 1 = 1
LCM(251,189) = ( 251 × 189 ) / 1
LCM(251,189) = 47439 / 1
LCM(251,189) = 47439
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FAQs on GCF of Fractions of 6175/251, 7562/189
1. What is the HCF of 6175,7562?
The HCF of 6175,7562 is 19
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 6175/251, 7562/189?
Answer: GCF of Numerators as per given numbers 6175/251, 7562/189 is
GCF of Numerators i.e. for 6175,7562 is 19
LCM of denominators i.e. for 251,189 is 47439.
Thus, GCF of Fractions is 19/47439.Finally, GCF of Fractions for 6175/251, 7562/189 is 19/47439.