GCF of 8697/822, 4668/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8697/822, 4668/130 i.e 3/53430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8697/822, 4668/130.
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 8697/822,4668/130?
Given fractions are 8697/822,4668/130
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 8697/822,4668/130, numerators are 8697,4668
Denominators are 822,130
The GCF of 8697,4668 is 3 .
LCM of 822,130 is 53430.
The greatest common factor of 8697/822,4668/130 = [GCF of 8697,4668]/[LCM of 822,130]= 3/53430
Therefore, the GCF of 8697/822,4668/130 is 3/53430.
To find the highest common factor of 8697,4668, we have to find the factors of both numbers and list the highest common factor.
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668
The HCF of 8697,4668 is 3.
Lets's calculate GCF of 8697,4668
| 3 | 8697, 4668 |
| 2899, 1556 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8697,4668 By Matching Biggest Common Factor Method
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Now, list down the factors of 4668
:1,2,3,4,6,12,389,778,1167,1556,2334,4668
Greatest Common Factor
We found the factors 8697,4668 . The biggest common factor number is the GCF number.
So the greatest common factor 8697,4668 is 3.
Lets's calculate LCM of 822,130
| 2 | 822, 130 |
| 411, 65 |
∴ So the LCM of the given numbers is 2 x 411 x 65 = 53430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53430
Therefore, the GCF of Fractions 8697/822,4668/130 is 3/53430
Least Common Multiple of 822,130 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 822,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,130) x common factors =2 x 1 = 2
LCM(822,130) = ( 822 × 130 ) / 2
LCM(822,130) = 106860 / 2
LCM(822,130) = 53430
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FAQs on GCF of Fractions of 8697/822, 4668/130
1. What is the HCF of 8697,4668?
The HCF of 8697,4668 is 3
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 8697/822, 4668/130?
Answer: GCF of Numerators as per given numbers 8697/822, 4668/130 is
GCF of Numerators i.e. for 8697,4668 is 3
LCM of denominators i.e. for 822,130 is 53430.
Thus, GCF of Fractions is 3/53430.Finally, GCF of Fractions for 8697/822, 4668/130 is 3/53430.