Use our free GCF of Fractions Calculator tool to compute the GCF of 7639/841, 9713/8914 i.e 1/7496674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7639/841, 9713/8914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7639/841,9713/8914
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 7639/841,9713/8914, numerators are 7639,9713
Denominators are 841,8914
The GCF of 7639,9713 is 1 .
LCM of 841,8914 is 7496674.
The greatest common factor of 7639/841,9713/8914 = [GCF of 7639,9713]/[LCM of 841,8914]= 1/7496674
Therefore, the GCF of 7639/841,9713/8914 is 1/7496674.
To find the highest common factor of 7639,9713, we have to find the factors of both numbers and list the highest common factor.
The factors of 7639 are 1, 7639
The factors of 9713 are 1, 11, 883, 9713
The HCF of 7639,9713 is 1.
Lets's calculate GCF of 7639,9713
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7639
:1,7639
Now, list down the factors of 9713
:1,11,883,9713
Greatest Common Factor
We found the factors 7639,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 7639,9713 is 1.
Lets's calculate LCM of 841,8914
Given numbers has no common factors except 1. So, there LCM is their product i.e 7496674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7496674
Therefore, the GCF of Fractions 7639/841,9713/8914 is 1/7496674
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 841,8914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,8914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,8914) x common factors =1 x 1 = 1
LCM(841,8914) = ( 841 × 8914 ) / 1
LCM(841,8914) = 7496674 / 1
LCM(841,8914) = 7496674
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7639,9713?
The HCF of 7639,9713 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 7639/841, 9713/8914?
Answer: GCF of Numerators as per given numbers 7639/841, 9713/8914 is
GCF of Numerators i.e. for 7639,9713 is 1
LCM of denominators i.e. for 841,8914 is 7496674.
Thus, GCF of Fractions is 1/7496674.Finally, GCF of Fractions for 7639/841, 9713/8914 is 1/7496674.