GCF of 1275/253, 7266/5540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1275/253, 7266/5540 i.e 3/1401620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1275/253, 7266/5540.
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 1275/253,7266/5540?
Given fractions are 1275/253,7266/5540
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 1275/253,7266/5540, numerators are 1275,7266
Denominators are 253,5540
The GCF of 1275,7266 is 3 .
LCM of 253,5540 is 1401620.
The greatest common factor of 1275/253,7266/5540 = [GCF of 1275,7266]/[LCM of 253,5540]= 3/1401620
Therefore, the GCF of 1275/253,7266/5540 is 3/1401620.
To find the highest common factor of 1275,7266, we have to find the factors of both numbers and list the highest common factor.
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
The HCF of 1275,7266 is 3.
Lets's calculate GCF of 1275,7266
| 3 | 1275, 7266 |
| 425, 2422 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1275,7266 By Matching Biggest Common Factor Method
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Now, list down the factors of 7266
:1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Greatest Common Factor
We found the factors 1275,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,7266 is 3.
Lets's calculate LCM of 253,5540
Given numbers has no common factors except 1. So, there LCM is their product i.e 1401620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1401620
Therefore, the GCF of Fractions 1275/253,7266/5540 is 3/1401620
Least Common Multiple of 253,5540 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 253,5540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,5540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,5540) x common factors =1 x 1 = 1
LCM(253,5540) = ( 253 × 5540 ) / 1
LCM(253,5540) = 1401620 / 1
LCM(253,5540) = 1401620
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FAQs on GCF of Fractions of 1275/253, 7266/5540
1. What is the HCF of 1275,7266?
The HCF of 1275,7266 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 1275/253, 7266/5540?
Answer: GCF of Numerators as per given numbers 1275/253, 7266/5540 is
GCF of Numerators i.e. for 1275,7266 is 3
LCM of denominators i.e. for 253,5540 is 1401620.
Thus, GCF of Fractions is 3/1401620.Finally, GCF of Fractions for 1275/253, 7266/5540 is 3/1401620.