GCF of 7694/970, 4487/4568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7694/970, 4487/4568 i.e 1/2215480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7694/970, 4487/4568.
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 7694/970,4487/4568?
Given fractions are 7694/970,4487/4568
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 7694/970,4487/4568, numerators are 7694,4487
Denominators are 970,4568
The GCF of 7694,4487 is 1 .
LCM of 970,4568 is 2215480.
The greatest common factor of 7694/970,4487/4568 = [GCF of 7694,4487]/[LCM of 970,4568]= 1/2215480
Therefore, the GCF of 7694/970,4487/4568 is 1/2215480.
To find the highest common factor of 7694,4487, we have to find the factors of both numbers and list the highest common factor.
The factors of 7694 are 1, 2, 3847, 7694
The factors of 4487 are 1, 7, 641, 4487
The HCF of 7694,4487 is 1.
Lets's calculate GCF of 7694,4487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7694,4487 By Matching Biggest Common Factor Method
Now, list down the factors of 7694
:1,2,3847,7694
Now, list down the factors of 4487
:1,7,641,4487
Greatest Common Factor
We found the factors 7694,4487 . The biggest common factor number is the GCF number.
So the greatest common factor 7694,4487 is 1.
Lets's calculate LCM of 970,4568
| 2 | 970, 4568 |
| 485, 2284 |
∴ So the LCM of the given numbers is 2 x 485 x 2284 = 2215480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2215480
Therefore, the GCF of Fractions 7694/970,4487/4568 is 1/2215480
Least Common Multiple of 970,4568 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 970,4568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,4568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,4568) x common factors =2 x 1 = 2
LCM(970,4568) = ( 970 × 4568 ) / 2
LCM(970,4568) = 4430960 / 2
LCM(970,4568) = 2215480
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FAQs on GCF of Fractions of 7694/970, 4487/4568
1. What is the HCF of 7694,4487?
The HCF of 7694,4487 is 1
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 7694/970, 4487/4568?
Answer: GCF of Numerators as per given numbers 7694/970, 4487/4568 is
GCF of Numerators i.e. for 7694,4487 is 1
LCM of denominators i.e. for 970,4568 is 2215480.
Thus, GCF of Fractions is 1/2215480.Finally, GCF of Fractions for 7694/970, 4487/4568 is 1/2215480.