GCF of 8766/640, 6719/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8766/640, 6719/922 i.e 1/295040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8766/640, 6719/922.
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 8766/640,6719/922?
Given fractions are 8766/640,6719/922
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 8766/640,6719/922, numerators are 8766,6719
Denominators are 640,922
The GCF of 8766,6719 is 1 .
LCM of 640,922 is 295040.
The greatest common factor of 8766/640,6719/922 = [GCF of 8766,6719]/[LCM of 640,922]= 1/295040
Therefore, the GCF of 8766/640,6719/922 is 1/295040.
To find the highest common factor of 8766,6719, we have to find the factors of both numbers and list the highest common factor.
The factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766
The factors of 6719 are 1, 6719
The HCF of 8766,6719 is 1.
Lets's calculate GCF of 8766,6719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8766,6719 By Matching Biggest Common Factor Method
Now, list down the factors of 8766
:1,2,3,6,9,18,487,974,1461,2922,4383,8766
Now, list down the factors of 6719
:1,6719
Greatest Common Factor
We found the factors 8766,6719 . The biggest common factor number is the GCF number.
So the greatest common factor 8766,6719 is 1.
Lets's calculate LCM of 640,922
| 2 | 640, 922 |
| 320, 461 |
∴ So the LCM of the given numbers is 2 x 320 x 461 = 295040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295040
Therefore, the GCF of Fractions 8766/640,6719/922 is 1/295040
Least Common Multiple of 640,922 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 640,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,922) x common factors =2 x 1 = 2
LCM(640,922) = ( 640 × 922 ) / 2
LCM(640,922) = 590080 / 2
LCM(640,922) = 295040
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FAQs on GCF of Fractions of 8766/640, 6719/922
1. What is the HCF of 8766,6719?
The HCF of 8766,6719 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 8766/640, 6719/922?
Answer: GCF of Numerators as per given numbers 8766/640, 6719/922 is
GCF of Numerators i.e. for 8766,6719 is 1
LCM of denominators i.e. for 640,922 is 295040.
Thus, GCF of Fractions is 1/295040.Finally, GCF of Fractions for 8766/640, 6719/922 is 1/295040.