GCF of 61/999, 61/8457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/999, 61/8457 i.e 61/2816181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/999, 61/8457.
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 61/999,61/8457?
Given fractions are 61/999,61/8457
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 61/999,61/8457, numerators are 61,61
Denominators are 999,8457
The GCF of 61,61 is 61 .
LCM of 999,8457 is 2816181.
The greatest common factor of 61/999,61/8457 = [GCF of 61,61]/[LCM of 999,8457]= 61/2816181
Therefore, the GCF of 61/999,61/8457 is 61/2816181.
To find the highest common factor of 61,61, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 61 are 1, 61
The HCF of 61,61 is 61.
Lets's calculate GCF of 61,61
| 61 | 61, 61 |
| 1, 1 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 61,61 By Matching Biggest Common Factor Method
Lets's calculate LCM of 999,8457
| 3 | 999, 8457 |
| 333, 2819 |
∴ So the LCM of the given numbers is 3 x 333 x 2819 = 2816181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/2816181
Therefore, the GCF of Fractions 61/999,61/8457 is 61/2816181
Least Common Multiple of 999,8457 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 999,8457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,8457) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,8457) x common factors =3 x 1 = 3
LCM(999,8457) = ( 999 × 8457 ) / 3
LCM(999,8457) = 8448543 / 3
LCM(999,8457) = 2816181
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FAQs on GCF of Fractions of 61/999, 61/8457
1. What is the HCF of 61,61?
The HCF of 61,61 is 61
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 61/999, 61/8457?
Answer: GCF of Numerators as per given numbers 61/999, 61/8457 is
GCF of Numerators i.e. for 61,61 is 61
LCM of denominators i.e. for 999,8457 is 2816181.
Thus, GCF of Fractions is 61/2816181.Finally, GCF of Fractions for 61/999, 61/8457 is 61/2816181.