GCF of 5572/751, 3395/7217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5572/751, 3395/7217 i.e 7/5419967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5572/751, 3395/7217.
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 5572/751,3395/7217?
Given fractions are 5572/751,3395/7217
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 5572/751,3395/7217, numerators are 5572,3395
Denominators are 751,7217
The GCF of 5572,3395 is 7 .
LCM of 751,7217 is 5419967.
The greatest common factor of 5572/751,3395/7217 = [GCF of 5572,3395]/[LCM of 751,7217]= 7/5419967
Therefore, the GCF of 5572/751,3395/7217 is 7/5419967.
To find the highest common factor of 5572,3395, we have to find the factors of both numbers and list the highest common factor.
The factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572
The factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395
The HCF of 5572,3395 is 7.
Lets's calculate GCF of 5572,3395
| 7 | 5572, 3395 |
| 796, 485 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5572,3395 By Matching Biggest Common Factor Method
Now, list down the factors of 5572
:1,2,4,7,14,28,199,398,796,1393,2786,5572
Now, list down the factors of 3395
:1,5,7,35,97,485,679,3395
Greatest Common Factor
We found the factors 5572,3395 . The biggest common factor number is the GCF number.
So the greatest common factor 5572,3395 is 7.
Lets's calculate LCM of 751,7217
Given numbers has no common factors except 1. So, there LCM is their product i.e 5419967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5419967
Therefore, the GCF of Fractions 5572/751,3395/7217 is 7/5419967
Least Common Multiple of 751,7217 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 751,7217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,7217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,7217) x common factors =1 x 1 = 1
LCM(751,7217) = ( 751 × 7217 ) / 1
LCM(751,7217) = 5419967 / 1
LCM(751,7217) = 5419967
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5572/751, 3395/7217
1. What is the HCF of 5572,3395?
The HCF of 5572,3395 is 7
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 5572/751, 3395/7217?
Answer: GCF of Numerators as per given numbers 5572/751, 3395/7217 is
GCF of Numerators i.e. for 5572,3395 is 7
LCM of denominators i.e. for 751,7217 is 5419967.
Thus, GCF of Fractions is 7/5419967.Finally, GCF of Fractions for 5572/751, 3395/7217 is 7/5419967.