GCF of 3562/242, 9771/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3562/242, 9771/912 i.e 1/110352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3562/242, 9771/912.
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 3562/242,9771/912?
Given fractions are 3562/242,9771/912
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 3562/242,9771/912, numerators are 3562,9771
Denominators are 242,912
The GCF of 3562,9771 is 1 .
LCM of 242,912 is 110352.
The greatest common factor of 3562/242,9771/912 = [GCF of 3562,9771]/[LCM of 242,912]= 1/110352
Therefore, the GCF of 3562/242,9771/912 is 1/110352.
To find the highest common factor of 3562,9771, we have to find the factors of both numbers and list the highest common factor.
The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562
The factors of 9771 are 1, 3, 3257, 9771
The HCF of 3562,9771 is 1.
Lets's calculate GCF of 3562,9771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3562,9771 By Matching Biggest Common Factor Method
Now, list down the factors of 3562
:1,2,13,26,137,274,1781,3562
Now, list down the factors of 9771
:1,3,3257,9771
Greatest Common Factor
We found the factors 3562,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 3562,9771 is 1.
Lets's calculate LCM of 242,912
| 2 | 242, 912 |
| 121, 456 |
∴ So the LCM of the given numbers is 2 x 121 x 456 = 110352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110352
Therefore, the GCF of Fractions 3562/242,9771/912 is 1/110352
Least Common Multiple of 242,912 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 242,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,912) x common factors =2 x 1 = 2
LCM(242,912) = ( 242 × 912 ) / 2
LCM(242,912) = 220704 / 2
LCM(242,912) = 110352
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FAQs on GCF of Fractions of 3562/242, 9771/912
1. What is the HCF of 3562,9771?
The HCF of 3562,9771 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 3562/242, 9771/912?
Answer: GCF of Numerators as per given numbers 3562/242, 9771/912 is
GCF of Numerators i.e. for 3562,9771 is 1
LCM of denominators i.e. for 242,912 is 110352.
Thus, GCF of Fractions is 1/110352.Finally, GCF of Fractions for 3562/242, 9771/912 is 1/110352.