GCF of 6970/680, 8863/951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6970/680, 8863/951 i.e 1/646680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6970/680, 8863/951.
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 6970/680,8863/951?
Given fractions are 6970/680,8863/951
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 6970/680,8863/951, numerators are 6970,8863
Denominators are 680,951
The GCF of 6970,8863 is 1 .
LCM of 680,951 is 646680.
The greatest common factor of 6970/680,8863/951 = [GCF of 6970,8863]/[LCM of 680,951]= 1/646680
Therefore, the GCF of 6970/680,8863/951 is 1/646680.
To find the highest common factor of 6970,8863, we have to find the factors of both numbers and list the highest common factor.
The factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
The factors of 8863 are 1, 8863
The HCF of 6970,8863 is 1.
Lets's calculate GCF of 6970,8863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6970,8863 By Matching Biggest Common Factor Method
Now, list down the factors of 6970
:1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Now, list down the factors of 8863
:1,8863
Greatest Common Factor
We found the factors 6970,8863 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,8863 is 1.
Lets's calculate LCM of 680,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 646680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646680
Therefore, the GCF of Fractions 6970/680,8863/951 is 1/646680
Least Common Multiple of 680,951 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 680,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,951) x common factors =1 x 1 = 1
LCM(680,951) = ( 680 × 951 ) / 1
LCM(680,951) = 646680 / 1
LCM(680,951) = 646680
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FAQs on GCF of Fractions of 6970/680, 8863/951
1. What is the HCF of 6970,8863?
The HCF of 6970,8863 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 6970/680, 8863/951?
Answer: GCF of Numerators as per given numbers 6970/680, 8863/951 is
GCF of Numerators i.e. for 6970,8863 is 1
LCM of denominators i.e. for 680,951 is 646680.
Thus, GCF of Fractions is 1/646680.Finally, GCF of Fractions for 6970/680, 8863/951 is 1/646680.