GCF of 7478/645, 5602/1657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7478/645, 5602/1657 i.e 2/1068765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7478/645, 5602/1657.
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 7478/645,5602/1657?
Given fractions are 7478/645,5602/1657
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 7478/645,5602/1657, numerators are 7478,5602
Denominators are 645,1657
The GCF of 7478,5602 is 2 .
LCM of 645,1657 is 1068765.
The greatest common factor of 7478/645,5602/1657 = [GCF of 7478,5602]/[LCM of 645,1657]= 2/1068765
Therefore, the GCF of 7478/645,5602/1657 is 2/1068765.
To find the highest common factor of 7478,5602, we have to find the factors of both numbers and list the highest common factor.
The factors of 7478 are 1, 2, 3739, 7478
The factors of 5602 are 1, 2, 2801, 5602
The HCF of 7478,5602 is 2.
Lets's calculate GCF of 7478,5602
| 2 | 7478, 5602 |
| 3739, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7478,5602 By Matching Biggest Common Factor Method
Now, list down the factors of 7478
:1,2,3739,7478
Now, list down the factors of 5602
:1,2,2801,5602
Greatest Common Factor
We found the factors 7478,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 7478,5602 is 2.
Lets's calculate LCM of 645,1657
Given numbers has no common factors except 1. So, there LCM is their product i.e 1068765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1068765
Therefore, the GCF of Fractions 7478/645,5602/1657 is 2/1068765
Least Common Multiple of 645,1657 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 645,1657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,1657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,1657) x common factors =1 x 1 = 1
LCM(645,1657) = ( 645 × 1657 ) / 1
LCM(645,1657) = 1068765 / 1
LCM(645,1657) = 1068765
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7478/645, 5602/1657
1. What is the HCF of 7478,5602?
The HCF of 7478,5602 is 2
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 7478/645, 5602/1657?
Answer: GCF of Numerators as per given numbers 7478/645, 5602/1657 is
GCF of Numerators i.e. for 7478,5602 is 2
LCM of denominators i.e. for 645,1657 is 1068765.
Thus, GCF of Fractions is 2/1068765.Finally, GCF of Fractions for 7478/645, 5602/1657 is 2/1068765.