GCF of 8934/165, 7782/707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8934/165, 7782/707 i.e 6/116655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8934/165, 7782/707.
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 8934/165,7782/707?
Given fractions are 8934/165,7782/707
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 8934/165,7782/707, numerators are 8934,7782
Denominators are 165,707
The GCF of 8934,7782 is 6 .
LCM of 165,707 is 116655.
The greatest common factor of 8934/165,7782/707 = [GCF of 8934,7782]/[LCM of 165,707]= 6/116655
Therefore, the GCF of 8934/165,7782/707 is 6/116655.
To find the highest common factor of 8934,7782, we have to find the factors of both numbers and list the highest common factor.
The factors of 8934 are 1, 2, 3, 6, 1489, 2978, 4467, 8934
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The HCF of 8934,7782 is 6.
Lets's calculate GCF of 8934,7782
| 2 | 8934, 7782 |
| 3 | 4467, 3891 |
| 1489, 1297 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8934,7782 By Matching Biggest Common Factor Method
Now, list down the factors of 8934
:1,2,3,6,1489,2978,4467,8934
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 8934,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 8934,7782 is 6.
Lets's calculate LCM of 165,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 116655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/116655
Therefore, the GCF of Fractions 8934/165,7782/707 is 6/116655
Least Common Multiple of 165,707 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 165,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,707) x common factors =1 x 1 = 1
LCM(165,707) = ( 165 × 707 ) / 1
LCM(165,707) = 116655 / 1
LCM(165,707) = 116655
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FAQs on GCF of Fractions of 8934/165, 7782/707
1. What is the HCF of 8934,7782?
The HCF of 8934,7782 is 6
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 8934/165, 7782/707?
Answer: GCF of Numerators as per given numbers 8934/165, 7782/707 is
GCF of Numerators i.e. for 8934,7782 is 6
LCM of denominators i.e. for 165,707 is 116655.
Thus, GCF of Fractions is 6/116655.Finally, GCF of Fractions for 8934/165, 7782/707 is 6/116655.