GCF of 5601/268, 5475/7920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5601/268, 5475/7920 i.e 3/530640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5601/268, 5475/7920.
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 5601/268,5475/7920?
Given fractions are 5601/268,5475/7920
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 5601/268,5475/7920, numerators are 5601,5475
Denominators are 268,7920
The GCF of 5601,5475 is 3 .
LCM of 268,7920 is 530640.
The greatest common factor of 5601/268,5475/7920 = [GCF of 5601,5475]/[LCM of 268,7920]= 3/530640
Therefore, the GCF of 5601/268,5475/7920 is 3/530640.
To find the highest common factor of 5601,5475, we have to find the factors of both numbers and list the highest common factor.
The factors of 5601 are 1, 3, 1867, 5601
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The HCF of 5601,5475 is 3.
Lets's calculate GCF of 5601,5475
| 3 | 5601, 5475 |
| 1867, 1825 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5601,5475 By Matching Biggest Common Factor Method
Now, list down the factors of 5601
:1,3,1867,5601
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Greatest Common Factor
We found the factors 5601,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 5601,5475 is 3.
Lets's calculate LCM of 268,7920
| 2 | 268, 7920 |
| 2 | 134, 3960 |
| 67, 1980 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1980 = 530640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/530640
Therefore, the GCF of Fractions 5601/268,5475/7920 is 3/530640
Least Common Multiple of 268,7920 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 268,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,7920) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,7920) x common factors =4 x 1 = 4
LCM(268,7920) = ( 268 × 7920 ) / 4
LCM(268,7920) = 2122560 / 4
LCM(268,7920) = 530640
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FAQs on GCF of Fractions of 5601/268, 5475/7920
1. What is the HCF of 5601,5475?
The HCF of 5601,5475 is 3
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 5601/268, 5475/7920?
Answer: GCF of Numerators as per given numbers 5601/268, 5475/7920 is
GCF of Numerators i.e. for 5601,5475 is 3
LCM of denominators i.e. for 268,7920 is 530640.
Thus, GCF of Fractions is 3/530640.Finally, GCF of Fractions for 5601/268, 5475/7920 is 3/530640.