GCF of 6994/948, 2240/7581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6994/948, 2240/7581 i.e 2/2395596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6994/948, 2240/7581.
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 6994/948,2240/7581?
Given fractions are 6994/948,2240/7581
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 6994/948,2240/7581, numerators are 6994,2240
Denominators are 948,7581
The GCF of 6994,2240 is 2 .
LCM of 948,7581 is 2395596.
The greatest common factor of 6994/948,2240/7581 = [GCF of 6994,2240]/[LCM of 948,7581]= 2/2395596
Therefore, the GCF of 6994/948,2240/7581 is 2/2395596.
To find the highest common factor of 6994,2240, we have to find the factors of both numbers and list the highest common factor.
The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240
The HCF of 6994,2240 is 2.
Lets's calculate GCF of 6994,2240
| 2 | 6994, 2240 |
| 3497, 1120 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6994,2240 By Matching Biggest Common Factor Method
Now, list down the factors of 6994
:1,2,13,26,269,538,3497,6994
Now, list down the factors of 2240
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Greatest Common Factor
We found the factors 6994,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 6994,2240 is 2.
Lets's calculate LCM of 948,7581
| 3 | 948, 7581 |
| 316, 2527 |
∴ So the LCM of the given numbers is 3 x 316 x 2527 = 2395596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2395596
Therefore, the GCF of Fractions 6994/948,2240/7581 is 2/2395596
Least Common Multiple of 948,7581 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 948,7581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,7581) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(948,7581) x common factors =3 x 1 = 3
LCM(948,7581) = ( 948 × 7581 ) / 3
LCM(948,7581) = 7186788 / 3
LCM(948,7581) = 2395596
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FAQs on GCF of Fractions of 6994/948, 2240/7581
1. What is the HCF of 6994,2240?
The HCF of 6994,2240 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 6994/948, 2240/7581?
Answer: GCF of Numerators as per given numbers 6994/948, 2240/7581 is
GCF of Numerators i.e. for 6994,2240 is 2
LCM of denominators i.e. for 948,7581 is 2395596.
Thus, GCF of Fractions is 2/2395596.Finally, GCF of Fractions for 6994/948, 2240/7581 is 2/2395596.