GCF of 8437/727, 6302/8972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8437/727, 6302/8972 i.e 1/6522644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8437/727, 6302/8972.
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 8437/727,6302/8972?
Given fractions are 8437/727,6302/8972
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 8437/727,6302/8972, numerators are 8437,6302
Denominators are 727,8972
The GCF of 8437,6302 is 1 .
LCM of 727,8972 is 6522644.
The greatest common factor of 8437/727,6302/8972 = [GCF of 8437,6302]/[LCM of 727,8972]= 1/6522644
Therefore, the GCF of 8437/727,6302/8972 is 1/6522644.
To find the highest common factor of 8437,6302, we have to find the factors of both numbers and list the highest common factor.
The factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437
The factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302
The HCF of 8437,6302 is 1.
Lets's calculate GCF of 8437,6302
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8437,6302 By Matching Biggest Common Factor Method
Now, list down the factors of 8437
:1,11,13,59,143,649,767,8437
Now, list down the factors of 6302
:1,2,23,46,137,274,3151,6302
Greatest Common Factor
We found the factors 8437,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 8437,6302 is 1.
Lets's calculate LCM of 727,8972
Given numbers has no common factors except 1. So, there LCM is their product i.e 6522644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6522644
Therefore, the GCF of Fractions 8437/727,6302/8972 is 1/6522644
Least Common Multiple of 727,8972 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 727,8972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,8972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,8972) x common factors =1 x 1 = 1
LCM(727,8972) = ( 727 × 8972 ) / 1
LCM(727,8972) = 6522644 / 1
LCM(727,8972) = 6522644
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FAQs on GCF of Fractions of 8437/727, 6302/8972
1. What is the HCF of 8437,6302?
The HCF of 8437,6302 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 8437/727, 6302/8972?
Answer: GCF of Numerators as per given numbers 8437/727, 6302/8972 is
GCF of Numerators i.e. for 8437,6302 is 1
LCM of denominators i.e. for 727,8972 is 6522644.
Thus, GCF of Fractions is 1/6522644.Finally, GCF of Fractions for 8437/727, 6302/8972 is 1/6522644.