GCF of 8922/696, 9620/441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8922/696, 9620/441 i.e 2/102312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8922/696, 9620/441.
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 8922/696,9620/441?
Given fractions are 8922/696,9620/441
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 8922/696,9620/441, numerators are 8922,9620
Denominators are 696,441
The GCF of 8922,9620 is 2 .
LCM of 696,441 is 102312.
The greatest common factor of 8922/696,9620/441 = [GCF of 8922,9620]/[LCM of 696,441]= 2/102312
Therefore, the GCF of 8922/696,9620/441 is 2/102312.
To find the highest common factor of 8922,9620, we have to find the factors of both numbers and list the highest common factor.
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The HCF of 8922,9620 is 2.
Lets's calculate GCF of 8922,9620
| 2 | 8922, 9620 |
| 4461, 4810 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8922,9620 By Matching Biggest Common Factor Method
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Now, list down the factors of 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Greatest Common Factor
We found the factors 8922,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 8922,9620 is 2.
Lets's calculate LCM of 696,441
| 3 | 696, 441 |
| 232, 147 |
∴ So the LCM of the given numbers is 3 x 232 x 147 = 102312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102312
Therefore, the GCF of Fractions 8922/696,9620/441 is 2/102312
Least Common Multiple of 696,441 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 696,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,441) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,441) x common factors =3 x 1 = 3
LCM(696,441) = ( 696 × 441 ) / 3
LCM(696,441) = 306936 / 3
LCM(696,441) = 102312
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FAQs on GCF of Fractions of 8922/696, 9620/441
1. What is the HCF of 8922,9620?
The HCF of 8922,9620 is 2
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 8922/696, 9620/441?
Answer: GCF of Numerators as per given numbers 8922/696, 9620/441 is
GCF of Numerators i.e. for 8922,9620 is 2
LCM of denominators i.e. for 696,441 is 102312.
Thus, GCF of Fractions is 2/102312.Finally, GCF of Fractions for 8922/696, 9620/441 is 2/102312.