GCF of 2960/941, 2224/5461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2960/941, 2224/5461 i.e 16/5138801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2960/941, 2224/5461.
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 2960/941,2224/5461?
Given fractions are 2960/941,2224/5461
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 2960/941,2224/5461, numerators are 2960,2224
Denominators are 941,5461
The GCF of 2960,2224 is 16 .
LCM of 941,5461 is 5138801.
The greatest common factor of 2960/941,2224/5461 = [GCF of 2960,2224]/[LCM of 941,5461]= 16/5138801
Therefore, the GCF of 2960/941,2224/5461 is 16/5138801.
To find the highest common factor of 2960,2224, we have to find the factors of both numbers and list the highest common factor.
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224
The HCF of 2960,2224 is 16.
Lets's calculate GCF of 2960,2224
| 2 | 2960, 2224 |
| 2 | 1480, 1112 |
| 2 | 740, 556 |
| 2 | 370, 278 |
| 185, 139 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2960,2224 By Matching Biggest Common Factor Method
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Now, list down the factors of 2224
:1,2,4,8,16,139,278,556,1112,2224
Greatest Common Factor
We found the factors 2960,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 2960,2224 is 16.
Lets's calculate LCM of 941,5461
Given numbers has no common factors except 1. So, there LCM is their product i.e 5138801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/5138801
Therefore, the GCF of Fractions 2960/941,2224/5461 is 16/5138801
Least Common Multiple of 941,5461 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 941,5461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,5461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,5461) x common factors =1 x 1 = 1
LCM(941,5461) = ( 941 × 5461 ) / 1
LCM(941,5461) = 5138801 / 1
LCM(941,5461) = 5138801
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FAQs on GCF of Fractions of 2960/941, 2224/5461
1. What is the HCF of 2960,2224?
The HCF of 2960,2224 is 16
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 2960/941, 2224/5461?
Answer: GCF of Numerators as per given numbers 2960/941, 2224/5461 is
GCF of Numerators i.e. for 2960,2224 is 16
LCM of denominators i.e. for 941,5461 is 5138801.
Thus, GCF of Fractions is 16/5138801.Finally, GCF of Fractions for 2960/941, 2224/5461 is 16/5138801.