GCF of 4962/680, 1870/8676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4962/680, 1870/8676 i.e 2/1474920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4962/680, 1870/8676.
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 4962/680,1870/8676?
Given fractions are 4962/680,1870/8676
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 4962/680,1870/8676, numerators are 4962,1870
Denominators are 680,8676
The GCF of 4962,1870 is 2 .
LCM of 680,8676 is 1474920.
The greatest common factor of 4962/680,1870/8676 = [GCF of 4962,1870]/[LCM of 680,8676]= 2/1474920
Therefore, the GCF of 4962/680,1870/8676 is 2/1474920.
To find the highest common factor of 4962,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 4962,1870 is 2.
Lets's calculate GCF of 4962,1870
| 2 | 4962, 1870 |
| 2481, 935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4962,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 4962
:1,2,3,6,827,1654,2481,4962
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 4962,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 4962,1870 is 2.
Lets's calculate LCM of 680,8676
| 2 | 680, 8676 |
| 2 | 340, 4338 |
| 170, 2169 |
∴ So the LCM of the given numbers is 2 x 2 x 170 x 2169 = 1474920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1474920
Therefore, the GCF of Fractions 4962/680,1870/8676 is 2/1474920
Least Common Multiple of 680,8676 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 680,8676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,8676) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(680,8676) x common factors =4 x 1 = 4
LCM(680,8676) = ( 680 × 8676 ) / 4
LCM(680,8676) = 5899680 / 4
LCM(680,8676) = 1474920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4962/680, 1870/8676
1. What is the HCF of 4962,1870?
The HCF of 4962,1870 is 2
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 4962/680, 1870/8676?
Answer: GCF of Numerators as per given numbers 4962/680, 1870/8676 is
GCF of Numerators i.e. for 4962,1870 is 2
LCM of denominators i.e. for 680,8676 is 1474920.
Thus, GCF of Fractions is 2/1474920.Finally, GCF of Fractions for 4962/680, 1870/8676 is 2/1474920.