GCF of 3552/110, 4502/7109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3552/110, 4502/7109 i.e 2/781990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3552/110, 4502/7109.
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 3552/110,4502/7109?
Given fractions are 3552/110,4502/7109
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 3552/110,4502/7109, numerators are 3552,4502
Denominators are 110,7109
The GCF of 3552,4502 is 2 .
LCM of 110,7109 is 781990.
The greatest common factor of 3552/110,4502/7109 = [GCF of 3552,4502]/[LCM of 110,7109]= 2/781990
Therefore, the GCF of 3552/110,4502/7109 is 2/781990.
To find the highest common factor of 3552,4502, we have to find the factors of both numbers and list the highest common factor.
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552
The factors of 4502 are 1, 2, 2251, 4502
The HCF of 3552,4502 is 2.
Lets's calculate GCF of 3552,4502
| 2 | 3552, 4502 |
| 1776, 2251 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3552,4502 By Matching Biggest Common Factor Method
Now, list down the factors of 3552
:1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552
Now, list down the factors of 4502
:1,2,2251,4502
Greatest Common Factor
We found the factors 3552,4502 . The biggest common factor number is the GCF number.
So the greatest common factor 3552,4502 is 2.
Lets's calculate LCM of 110,7109
Given numbers has no common factors except 1. So, there LCM is their product i.e 781990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/781990
Therefore, the GCF of Fractions 3552/110,4502/7109 is 2/781990
Least Common Multiple of 110,7109 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 110,7109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,7109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,7109) x common factors =1 x 1 = 1
LCM(110,7109) = ( 110 × 7109 ) / 1
LCM(110,7109) = 781990 / 1
LCM(110,7109) = 781990
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3552/110, 4502/7109
1. What is the HCF of 3552,4502?
The HCF of 3552,4502 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 3552/110, 4502/7109?
Answer: GCF of Numerators as per given numbers 3552/110, 4502/7109 is
GCF of Numerators i.e. for 3552,4502 is 2
LCM of denominators i.e. for 110,7109 is 781990.
Thus, GCF of Fractions is 2/781990.Finally, GCF of Fractions for 3552/110, 4502/7109 is 2/781990.