GCF of 1761/488, 8907/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1761/488, 8907/492 i.e 3/60024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1761/488, 8907/492.
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 1761/488,8907/492?
Given fractions are 1761/488,8907/492
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 1761/488,8907/492, numerators are 1761,8907
Denominators are 488,492
The GCF of 1761,8907 is 3 .
LCM of 488,492 is 60024.
The greatest common factor of 1761/488,8907/492 = [GCF of 1761,8907]/[LCM of 488,492]= 3/60024
Therefore, the GCF of 1761/488,8907/492 is 3/60024.
To find the highest common factor of 1761,8907, we have to find the factors of both numbers and list the highest common factor.
The factors of 1761 are 1, 3, 587, 1761
The factors of 8907 are 1, 3, 2969, 8907
The HCF of 1761,8907 is 3.
Lets's calculate GCF of 1761,8907
| 3 | 1761, 8907 |
| 587, 2969 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1761,8907 By Matching Biggest Common Factor Method
Now, list down the factors of 1761
:1,3,587,1761
Now, list down the factors of 8907
:1,3,2969,8907
Greatest Common Factor
We found the factors 1761,8907 . The biggest common factor number is the GCF number.
So the greatest common factor 1761,8907 is 3.
Lets's calculate LCM of 488,492
| 2 | 488, 492 |
| 2 | 244, 246 |
| 122, 123 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 123 = 60024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60024
Therefore, the GCF of Fractions 1761/488,8907/492 is 3/60024
Least Common Multiple of 488,492 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 488,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,492) x common factors =4 x 1 = 4
LCM(488,492) = ( 488 × 492 ) / 4
LCM(488,492) = 240096 / 4
LCM(488,492) = 60024
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FAQs on GCF of Fractions of 1761/488, 8907/492
1. What is the HCF of 1761,8907?
The HCF of 1761,8907 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 1761/488, 8907/492?
Answer: GCF of Numerators as per given numbers 1761/488, 8907/492 is
GCF of Numerators i.e. for 1761,8907 is 3
LCM of denominators i.e. for 488,492 is 60024.
Thus, GCF of Fractions is 3/60024.Finally, GCF of Fractions for 1761/488, 8907/492 is 3/60024.