GCF of 8937/879, 7322/5142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8937/879, 7322/5142 i.e 1/1506606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8937/879, 7322/5142.
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 8937/879,7322/5142?
Given fractions are 8937/879,7322/5142
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 8937/879,7322/5142, numerators are 8937,7322
Denominators are 879,5142
The GCF of 8937,7322 is 1 .
LCM of 879,5142 is 1506606.
The greatest common factor of 8937/879,7322/5142 = [GCF of 8937,7322]/[LCM of 879,5142]= 1/1506606
Therefore, the GCF of 8937/879,7322/5142 is 1/1506606.
To find the highest common factor of 8937,7322, we have to find the factors of both numbers and list the highest common factor.
The factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937
The factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The HCF of 8937,7322 is 1.
Lets's calculate GCF of 8937,7322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8937,7322 By Matching Biggest Common Factor Method
Now, list down the factors of 8937
:1,3,9,27,331,993,2979,8937
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 8937,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 8937,7322 is 1.
Lets's calculate LCM of 879,5142
| 3 | 879, 5142 |
| 293, 1714 |
∴ So the LCM of the given numbers is 3 x 293 x 1714 = 1506606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1506606
Therefore, the GCF of Fractions 8937/879,7322/5142 is 1/1506606
Least Common Multiple of 879,5142 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 879,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,5142) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,5142) x common factors =3 x 1 = 3
LCM(879,5142) = ( 879 × 5142 ) / 3
LCM(879,5142) = 4519818 / 3
LCM(879,5142) = 1506606
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FAQs on GCF of Fractions of 8937/879, 7322/5142
1. What is the HCF of 8937,7322?
The HCF of 8937,7322 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 8937/879, 7322/5142?
Answer: GCF of Numerators as per given numbers 8937/879, 7322/5142 is
GCF of Numerators i.e. for 8937,7322 is 1
LCM of denominators i.e. for 879,5142 is 1506606.
Thus, GCF of Fractions is 1/1506606.Finally, GCF of Fractions for 8937/879, 7322/5142 is 1/1506606.