GCF of 7410/896, 4654/7631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7410/896, 4654/7631 i.e 26/6837376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7410/896, 4654/7631.
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 7410/896,4654/7631?
Given fractions are 7410/896,4654/7631
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 7410/896,4654/7631, numerators are 7410,4654
Denominators are 896,7631
The GCF of 7410,4654 is 26 .
LCM of 896,7631 is 6837376.
The greatest common factor of 7410/896,4654/7631 = [GCF of 7410,4654]/[LCM of 896,7631]= 26/6837376
Therefore, the GCF of 7410/896,4654/7631 is 26/6837376.
To find the highest common factor of 7410,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 7410,4654 is 26.
Lets's calculate GCF of 7410,4654
| 2 | 7410, 4654 |
| 13 | 3705, 2327 |
| 285, 179 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 7410,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 7410
:1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 7410,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 7410,4654 is 26.
Lets's calculate LCM of 896,7631
Given numbers has no common factors except 1. So, there LCM is their product i.e 6837376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/6837376
Therefore, the GCF of Fractions 7410/896,4654/7631 is 26/6837376
Least Common Multiple of 896,7631 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 896,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,7631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,7631) x common factors =1 x 1 = 1
LCM(896,7631) = ( 896 × 7631 ) / 1
LCM(896,7631) = 6837376 / 1
LCM(896,7631) = 6837376
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FAQs on GCF of Fractions of 7410/896, 4654/7631
1. What is the HCF of 7410,4654?
The HCF of 7410,4654 is 26
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 7410/896, 4654/7631?
Answer: GCF of Numerators as per given numbers 7410/896, 4654/7631 is
GCF of Numerators i.e. for 7410,4654 is 26
LCM of denominators i.e. for 896,7631 is 6837376.
Thus, GCF of Fractions is 26/6837376.Finally, GCF of Fractions for 7410/896, 4654/7631 is 26/6837376.