GCF of 4963/105, 1764/8169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4963/105, 1764/8169 i.e 7/40845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4963/105, 1764/8169.
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 4963/105,1764/8169?
Given fractions are 4963/105,1764/8169
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 4963/105,1764/8169, numerators are 4963,1764
Denominators are 105,8169
The GCF of 4963,1764 is 7 .
LCM of 105,8169 is 40845.
The greatest common factor of 4963/105,1764/8169 = [GCF of 4963,1764]/[LCM of 105,8169]= 7/40845
Therefore, the GCF of 4963/105,1764/8169 is 7/40845.
To find the highest common factor of 4963,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4963 are 1, 7, 709, 4963
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 4963,1764 is 7.
Lets's calculate GCF of 4963,1764
| 7 | 4963, 1764 |
| 709, 252 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4963,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 4963
:1,7,709,4963
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 4963,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 4963,1764 is 7.
Lets's calculate LCM of 105,8169
| 3 | 105, 8169 |
| 7 | 35, 2723 |
| 5, 389 |
∴ So the LCM of the given numbers is 3 x 7 x 5 x 389 = 40845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/40845
Therefore, the GCF of Fractions 4963/105,1764/8169 is 7/40845
Least Common Multiple of 105,8169 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 105,8169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,8169) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(105,8169) x common factors =21 x 1 = 21
LCM(105,8169) = ( 105 × 8169 ) / 21
LCM(105,8169) = 857745 / 21
LCM(105,8169) = 40845
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FAQs on GCF of Fractions of 4963/105, 1764/8169
1. What is the HCF of 4963,1764?
The HCF of 4963,1764 is 7
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 4963/105, 1764/8169?
Answer: GCF of Numerators as per given numbers 4963/105, 1764/8169 is
GCF of Numerators i.e. for 4963,1764 is 7
LCM of denominators i.e. for 105,8169 is 40845.
Thus, GCF of Fractions is 7/40845.Finally, GCF of Fractions for 4963/105, 1764/8169 is 7/40845.