GCF of 5376/682, 7351/8683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5376/682, 7351/8683 i.e 1/5921806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5376/682, 7351/8683.
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 5376/682,7351/8683?
Given fractions are 5376/682,7351/8683
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 5376/682,7351/8683, numerators are 5376,7351
Denominators are 682,8683
The GCF of 5376,7351 is 1 .
LCM of 682,8683 is 5921806.
The greatest common factor of 5376/682,7351/8683 = [GCF of 5376,7351]/[LCM of 682,8683]= 1/5921806
Therefore, the GCF of 5376/682,7351/8683 is 1/5921806.
To find the highest common factor of 5376,7351, we have to find the factors of both numbers and list the highest common factor.
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376
The factors of 7351 are 1, 7351
The HCF of 5376,7351 is 1.
Lets's calculate GCF of 5376,7351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5376,7351 By Matching Biggest Common Factor Method
Now, list down the factors of 5376
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376
Now, list down the factors of 7351
:1,7351
Greatest Common Factor
We found the factors 5376,7351 . The biggest common factor number is the GCF number.
So the greatest common factor 5376,7351 is 1.
Lets's calculate LCM of 682,8683
Given numbers has no common factors except 1. So, there LCM is their product i.e 5921806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5921806
Therefore, the GCF of Fractions 5376/682,7351/8683 is 1/5921806
Least Common Multiple of 682,8683 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 682,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,8683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,8683) x common factors =1 x 1 = 1
LCM(682,8683) = ( 682 × 8683 ) / 1
LCM(682,8683) = 5921806 / 1
LCM(682,8683) = 5921806
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FAQs on GCF of Fractions of 5376/682, 7351/8683
1. What is the HCF of 5376,7351?
The HCF of 5376,7351 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 5376/682, 7351/8683?
Answer: GCF of Numerators as per given numbers 5376/682, 7351/8683 is
GCF of Numerators i.e. for 5376,7351 is 1
LCM of denominators i.e. for 682,8683 is 5921806.
Thus, GCF of Fractions is 1/5921806.Finally, GCF of Fractions for 5376/682, 7351/8683 is 1/5921806.