GCF of 6917/766, 8220/7002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6917/766, 8220/7002 i.e 1/2681766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6917/766, 8220/7002.
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 6917/766,8220/7002?
Given fractions are 6917/766,8220/7002
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 6917/766,8220/7002, numerators are 6917,8220
Denominators are 766,7002
The GCF of 6917,8220 is 1 .
LCM of 766,7002 is 2681766.
The greatest common factor of 6917/766,8220/7002 = [GCF of 6917,8220]/[LCM of 766,7002]= 1/2681766
Therefore, the GCF of 6917/766,8220/7002 is 1/2681766.
To find the highest common factor of 6917,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 6917 are 1, 6917
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 6917,8220 is 1.
Lets's calculate GCF of 6917,8220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6917,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 6917
:1,6917
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 6917,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 6917,8220 is 1.
Lets's calculate LCM of 766,7002
| 2 | 766, 7002 |
| 383, 3501 |
∴ So the LCM of the given numbers is 2 x 383 x 3501 = 2681766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2681766
Therefore, the GCF of Fractions 6917/766,8220/7002 is 1/2681766
Least Common Multiple of 766,7002 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 766,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,7002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,7002) x common factors =2 x 1 = 2
LCM(766,7002) = ( 766 × 7002 ) / 2
LCM(766,7002) = 5363532 / 2
LCM(766,7002) = 2681766
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FAQs on GCF of Fractions of 6917/766, 8220/7002
1. What is the HCF of 6917,8220?
The HCF of 6917,8220 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 6917/766, 8220/7002?
Answer: GCF of Numerators as per given numbers 6917/766, 8220/7002 is
GCF of Numerators i.e. for 6917,8220 is 1
LCM of denominators i.e. for 766,7002 is 2681766.
Thus, GCF of Fractions is 1/2681766.Finally, GCF of Fractions for 6917/766, 8220/7002 is 1/2681766.