GCF of 7490/254, 2492/6706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7490/254, 2492/6706 i.e 14/851662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7490/254, 2492/6706.
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 7490/254,2492/6706?
Given fractions are 7490/254,2492/6706
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 7490/254,2492/6706, numerators are 7490,2492
Denominators are 254,6706
The GCF of 7490,2492 is 14 .
LCM of 254,6706 is 851662.
The greatest common factor of 7490/254,2492/6706 = [GCF of 7490,2492]/[LCM of 254,6706]= 14/851662
Therefore, the GCF of 7490/254,2492/6706 is 14/851662.
To find the highest common factor of 7490,2492, we have to find the factors of both numbers and list the highest common factor.
The factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490
The factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492
The HCF of 7490,2492 is 14.
Lets's calculate GCF of 7490,2492
| 2 | 7490, 2492 |
| 7 | 3745, 1246 |
| 535, 178 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7490,2492 By Matching Biggest Common Factor Method
Now, list down the factors of 7490
:1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490
Now, list down the factors of 2492
:1,2,4,7,14,28,89,178,356,623,1246,2492
Greatest Common Factor
We found the factors 7490,2492 . The biggest common factor number is the GCF number.
So the greatest common factor 7490,2492 is 14.
Lets's calculate LCM of 254,6706
| 2 | 254, 6706 |
| 127, 3353 |
∴ So the LCM of the given numbers is 2 x 127 x 3353 = 851662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/851662
Therefore, the GCF of Fractions 7490/254,2492/6706 is 14/851662
Least Common Multiple of 254,6706 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 254,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,6706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,6706) x common factors =2 x 1 = 2
LCM(254,6706) = ( 254 × 6706 ) / 2
LCM(254,6706) = 1703324 / 2
LCM(254,6706) = 851662
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FAQs on GCF of Fractions of 7490/254, 2492/6706
1. What is the HCF of 7490,2492?
The HCF of 7490,2492 is 14
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 7490/254, 2492/6706?
Answer: GCF of Numerators as per given numbers 7490/254, 2492/6706 is
GCF of Numerators i.e. for 7490,2492 is 14
LCM of denominators i.e. for 254,6706 is 851662.
Thus, GCF of Fractions is 14/851662.Finally, GCF of Fractions for 7490/254, 2492/6706 is 14/851662.