GCF of 9762/498, 5571/1460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9762/498, 5571/1460 i.e 3/363540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9762/498, 5571/1460.
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 9762/498,5571/1460?
Given fractions are 9762/498,5571/1460
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 9762/498,5571/1460, numerators are 9762,5571
Denominators are 498,1460
The GCF of 9762,5571 is 3 .
LCM of 498,1460 is 363540.
The greatest common factor of 9762/498,5571/1460 = [GCF of 9762,5571]/[LCM of 498,1460]= 3/363540
Therefore, the GCF of 9762/498,5571/1460 is 3/363540.
To find the highest common factor of 9762,5571, we have to find the factors of both numbers and list the highest common factor.
The factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762
The factors of 5571 are 1, 3, 9, 619, 1857, 5571
The HCF of 9762,5571 is 3.
Lets's calculate GCF of 9762,5571
| 3 | 9762, 5571 |
| 3254, 1857 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9762,5571 By Matching Biggest Common Factor Method
Now, list down the factors of 9762
:1,2,3,6,1627,3254,4881,9762
Now, list down the factors of 5571
:1,3,9,619,1857,5571
Greatest Common Factor
We found the factors 9762,5571 . The biggest common factor number is the GCF number.
So the greatest common factor 9762,5571 is 3.
Lets's calculate LCM of 498,1460
| 2 | 498, 1460 |
| 249, 730 |
∴ So the LCM of the given numbers is 2 x 249 x 730 = 363540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/363540
Therefore, the GCF of Fractions 9762/498,5571/1460 is 3/363540
Least Common Multiple of 498,1460 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 498,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1460) x common factors =2 x 1 = 2
LCM(498,1460) = ( 498 × 1460 ) / 2
LCM(498,1460) = 727080 / 2
LCM(498,1460) = 363540
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FAQs on GCF of Fractions of 9762/498, 5571/1460
1. What is the HCF of 9762,5571?
The HCF of 9762,5571 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 9762/498, 5571/1460?
Answer: GCF of Numerators as per given numbers 9762/498, 5571/1460 is
GCF of Numerators i.e. for 9762,5571 is 3
LCM of denominators i.e. for 498,1460 is 363540.
Thus, GCF of Fractions is 3/363540.Finally, GCF of Fractions for 9762/498, 5571/1460 is 3/363540.