GCF of 1921/937, 9299/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1921/937, 9299/962 i.e 17/901394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1921/937, 9299/962.
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 1921/937,9299/962?
Given fractions are 1921/937,9299/962
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 1921/937,9299/962, numerators are 1921,9299
Denominators are 937,962
The GCF of 1921,9299 is 17 .
LCM of 937,962 is 901394.
The greatest common factor of 1921/937,9299/962 = [GCF of 1921,9299]/[LCM of 937,962]= 17/901394
Therefore, the GCF of 1921/937,9299/962 is 17/901394.
To find the highest common factor of 1921,9299, we have to find the factors of both numbers and list the highest common factor.
The factors of 1921 are 1, 17, 113, 1921
The factors of 9299 are 1, 17, 547, 9299
The HCF of 1921,9299 is 17.
Lets's calculate GCF of 1921,9299
| 17 | 1921, 9299 |
| 113, 547 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1921,9299 By Matching Biggest Common Factor Method
Now, list down the factors of 1921
:1,17,113,1921
Now, list down the factors of 9299
:1,17,547,9299
Greatest Common Factor
We found the factors 1921,9299 . The biggest common factor number is the GCF number.
So the greatest common factor 1921,9299 is 17.
Lets's calculate LCM of 937,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 901394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/901394
Therefore, the GCF of Fractions 1921/937,9299/962 is 17/901394
Least Common Multiple of 937,962 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 937,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,962) x common factors =1 x 1 = 1
LCM(937,962) = ( 937 × 962 ) / 1
LCM(937,962) = 901394 / 1
LCM(937,962) = 901394
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FAQs on GCF of Fractions of 1921/937, 9299/962
1. What is the HCF of 1921,9299?
The HCF of 1921,9299 is 17
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 1921/937, 9299/962?
Answer: GCF of Numerators as per given numbers 1921/937, 9299/962 is
GCF of Numerators i.e. for 1921,9299 is 17
LCM of denominators i.e. for 937,962 is 901394.
Thus, GCF of Fractions is 17/901394.Finally, GCF of Fractions for 1921/937, 9299/962 is 17/901394.