GCF of 8847/506, 6968/6552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8847/506, 6968/6552 i.e 1/1657656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8847/506, 6968/6552.
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 8847/506,6968/6552?
Given fractions are 8847/506,6968/6552
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 8847/506,6968/6552, numerators are 8847,6968
Denominators are 506,6552
The GCF of 8847,6968 is 1 .
LCM of 506,6552 is 1657656.
The greatest common factor of 8847/506,6968/6552 = [GCF of 8847,6968]/[LCM of 506,6552]= 1/1657656
Therefore, the GCF of 8847/506,6968/6552 is 1/1657656.
To find the highest common factor of 8847,6968, we have to find the factors of both numbers and list the highest common factor.
The factors of 8847 are 1, 3, 9, 983, 2949, 8847
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The HCF of 8847,6968 is 1.
Lets's calculate GCF of 8847,6968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8847,6968 By Matching Biggest Common Factor Method
Now, list down the factors of 8847
:1,3,9,983,2949,8847
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Greatest Common Factor
We found the factors 8847,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 8847,6968 is 1.
Lets's calculate LCM of 506,6552
| 2 | 506, 6552 |
| 253, 3276 |
∴ So the LCM of the given numbers is 2 x 253 x 3276 = 1657656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1657656
Therefore, the GCF of Fractions 8847/506,6968/6552 is 1/1657656
Least Common Multiple of 506,6552 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 506,6552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6552) x common factors =2 x 1 = 2
LCM(506,6552) = ( 506 × 6552 ) / 2
LCM(506,6552) = 3315312 / 2
LCM(506,6552) = 1657656
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FAQs on GCF of Fractions of 8847/506, 6968/6552
1. What is the HCF of 8847,6968?
The HCF of 8847,6968 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 8847/506, 6968/6552?
Answer: GCF of Numerators as per given numbers 8847/506, 6968/6552 is
GCF of Numerators i.e. for 8847,6968 is 1
LCM of denominators i.e. for 506,6552 is 1657656.
Thus, GCF of Fractions is 1/1657656.Finally, GCF of Fractions for 8847/506, 6968/6552 is 1/1657656.