GCF of 220/313, 1404/528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 220/313, 1404/528 i.e 4/165264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/313, 1404/528.
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 220/313,1404/528?
Given fractions are 220/313,1404/528
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 220/313,1404/528, numerators are 220,1404
Denominators are 313,528
The GCF of 220,1404 is 4 .
LCM of 313,528 is 165264.
The greatest common factor of 220/313,1404/528 = [GCF of 220,1404]/[LCM of 313,528]= 4/165264
Therefore, the GCF of 220/313,1404/528 is 4/165264.
To find the highest common factor of 220,1404, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404
The HCF of 220,1404 is 4.
Lets's calculate GCF of 220,1404
| 2 | 220, 1404 |
| 2 | 110, 702 |
| 55, 351 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 220,1404 By Matching Biggest Common Factor Method
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 1404
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Greatest Common Factor
We found the factors 220,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 220,1404 is 4.
Lets's calculate LCM of 313,528
Given numbers has no common factors except 1. So, there LCM is their product i.e 165264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/165264
Therefore, the GCF of Fractions 220/313,1404/528 is 4/165264
Least Common Multiple of 313,528 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 313,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,528) x common factors =1 x 1 = 1
LCM(313,528) = ( 313 × 528 ) / 1
LCM(313,528) = 165264 / 1
LCM(313,528) = 165264
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FAQs on GCF of Fractions of 220/313, 1404/528
1. What is the HCF of 220,1404?
The HCF of 220,1404 is 4
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 220/313, 1404/528?
Answer: GCF of Numerators as per given numbers 220/313, 1404/528 is
GCF of Numerators i.e. for 220,1404 is 4
LCM of denominators i.e. for 313,528 is 165264.
Thus, GCF of Fractions is 4/165264.Finally, GCF of Fractions for 220/313, 1404/528 is 4/165264.