GCF of 4904/841, 7317/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4904/841, 7317/924 i.e 1/777084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4904/841, 7317/924.
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 4904/841,7317/924?
Given fractions are 4904/841,7317/924
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 4904/841,7317/924, numerators are 4904,7317
Denominators are 841,924
The GCF of 4904,7317 is 1 .
LCM of 841,924 is 777084.
The greatest common factor of 4904/841,7317/924 = [GCF of 4904,7317]/[LCM of 841,924]= 1/777084
Therefore, the GCF of 4904/841,7317/924 is 1/777084.
To find the highest common factor of 4904,7317, we have to find the factors of both numbers and list the highest common factor.
The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317
The HCF of 4904,7317 is 1.
Lets's calculate GCF of 4904,7317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4904,7317 By Matching Biggest Common Factor Method
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Now, list down the factors of 7317
:1,3,9,27,271,813,2439,7317
Greatest Common Factor
We found the factors 4904,7317 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,7317 is 1.
Lets's calculate LCM of 841,924
Given numbers has no common factors except 1. So, there LCM is their product i.e 777084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/777084
Therefore, the GCF of Fractions 4904/841,7317/924 is 1/777084
Least Common Multiple of 841,924 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 841,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,924) x common factors =1 x 1 = 1
LCM(841,924) = ( 841 × 924 ) / 1
LCM(841,924) = 777084 / 1
LCM(841,924) = 777084
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FAQs on GCF of Fractions of 4904/841, 7317/924
1. What is the HCF of 4904,7317?
The HCF of 4904,7317 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 4904/841, 7317/924?
Answer: GCF of Numerators as per given numbers 4904/841, 7317/924 is
GCF of Numerators i.e. for 4904,7317 is 1
LCM of denominators i.e. for 841,924 is 777084.
Thus, GCF of Fractions is 1/777084.Finally, GCF of Fractions for 4904/841, 7317/924 is 1/777084.