GCF of 2246/680, 8122/5574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2246/680, 8122/5574 i.e 2/1895160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2246/680, 8122/5574.
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 2246/680,8122/5574?
Given fractions are 2246/680,8122/5574
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 2246/680,8122/5574, numerators are 2246,8122
Denominators are 680,5574
The GCF of 2246,8122 is 2 .
LCM of 680,5574 is 1895160.
The greatest common factor of 2246/680,8122/5574 = [GCF of 2246,8122]/[LCM of 680,5574]= 2/1895160
Therefore, the GCF of 2246/680,8122/5574 is 2/1895160.
To find the highest common factor of 2246,8122, we have to find the factors of both numbers and list the highest common factor.
The factors of 2246 are 1, 2, 1123, 2246
The factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122
The HCF of 2246,8122 is 2.
Lets's calculate GCF of 2246,8122
| 2 | 2246, 8122 |
| 1123, 4061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2246,8122 By Matching Biggest Common Factor Method
Now, list down the factors of 2246
:1,2,1123,2246
Now, list down the factors of 8122
:1,2,31,62,131,262,4061,8122
Greatest Common Factor
We found the factors 2246,8122 . The biggest common factor number is the GCF number.
So the greatest common factor 2246,8122 is 2.
Lets's calculate LCM of 680,5574
| 2 | 680, 5574 |
| 340, 2787 |
∴ So the LCM of the given numbers is 2 x 340 x 2787 = 1895160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1895160
Therefore, the GCF of Fractions 2246/680,8122/5574 is 2/1895160
Least Common Multiple of 680,5574 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 680,5574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,5574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,5574) x common factors =2 x 1 = 2
LCM(680,5574) = ( 680 × 5574 ) / 2
LCM(680,5574) = 3790320 / 2
LCM(680,5574) = 1895160
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FAQs on GCF of Fractions of 2246/680, 8122/5574
1. What is the HCF of 2246,8122?
The HCF of 2246,8122 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 2246/680, 8122/5574?
Answer: GCF of Numerators as per given numbers 2246/680, 8122/5574 is
GCF of Numerators i.e. for 2246,8122 is 2
LCM of denominators i.e. for 680,5574 is 1895160.
Thus, GCF of Fractions is 2/1895160.Finally, GCF of Fractions for 2246/680, 8122/5574 is 2/1895160.