GCF of 1351/563, 7346/6522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1351/563, 7346/6522 i.e 1/3671886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/563, 7346/6522.
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 1351/563,7346/6522?
Given fractions are 1351/563,7346/6522
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 1351/563,7346/6522, numerators are 1351,7346
Denominators are 563,6522
The GCF of 1351,7346 is 1 .
LCM of 563,6522 is 3671886.
The greatest common factor of 1351/563,7346/6522 = [GCF of 1351,7346]/[LCM of 563,6522]= 1/3671886
Therefore, the GCF of 1351/563,7346/6522 is 1/3671886.
To find the highest common factor of 1351,7346, we have to find the factors of both numbers and list the highest common factor.
The factors of 1351 are 1, 7, 193, 1351
The factors of 7346 are 1, 2, 3673, 7346
The HCF of 1351,7346 is 1.
Lets's calculate GCF of 1351,7346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1351,7346 By Matching Biggest Common Factor Method
Now, list down the factors of 1351
:1,7,193,1351
Now, list down the factors of 7346
:1,2,3673,7346
Greatest Common Factor
We found the factors 1351,7346 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,7346 is 1.
Lets's calculate LCM of 563,6522
Given numbers has no common factors except 1. So, there LCM is their product i.e 3671886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3671886
Therefore, the GCF of Fractions 1351/563,7346/6522 is 1/3671886
Least Common Multiple of 563,6522 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 563,6522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,6522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,6522) x common factors =1 x 1 = 1
LCM(563,6522) = ( 563 × 6522 ) / 1
LCM(563,6522) = 3671886 / 1
LCM(563,6522) = 3671886
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1351/563, 7346/6522
1. What is the HCF of 1351,7346?
The HCF of 1351,7346 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 1351/563, 7346/6522?
Answer: GCF of Numerators as per given numbers 1351/563, 7346/6522 is
GCF of Numerators i.e. for 1351,7346 is 1
LCM of denominators i.e. for 563,6522 is 3671886.
Thus, GCF of Fractions is 1/3671886.Finally, GCF of Fractions for 1351/563, 7346/6522 is 1/3671886.