GCF of 253/930, 3504/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 253/930, 3504/960 i.e 1/29760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/930, 3504/960.
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 253/930,3504/960?
Given fractions are 253/930,3504/960
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 253/930,3504/960, numerators are 253,3504
Denominators are 930,960
The GCF of 253,3504 is 1 .
LCM of 930,960 is 29760.
The greatest common factor of 253/930,3504/960 = [GCF of 253,3504]/[LCM of 930,960]= 1/29760
Therefore, the GCF of 253/930,3504/960 is 1/29760.
To find the highest common factor of 253,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 253 are 1, 11, 23, 253
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 253,3504 is 1.
Lets's calculate GCF of 253,3504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 253,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 253
:1,11,23,253
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 253,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 253,3504 is 1.
Lets's calculate LCM of 930,960
| 2 | 930, 960 |
| 3 | 465, 480 |
| 5 | 155, 160 |
| 31, 32 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 32 = 29760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29760
Therefore, the GCF of Fractions 253/930,3504/960 is 1/29760
Least Common Multiple of 930,960 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 930,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,960) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(930,960) x common factors =30 x 1 = 30
LCM(930,960) = ( 930 × 960 ) / 30
LCM(930,960) = 892800 / 30
LCM(930,960) = 29760
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FAQs on GCF of Fractions of 253/930, 3504/960
1. What is the HCF of 253,3504?
The HCF of 253,3504 is 1
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 253/930, 3504/960?
Answer: GCF of Numerators as per given numbers 253/930, 3504/960 is
GCF of Numerators i.e. for 253,3504 is 1
LCM of denominators i.e. for 930,960 is 29760.
Thus, GCF of Fractions is 1/29760.Finally, GCF of Fractions for 253/930, 3504/960 is 1/29760.