GCF of 5488/772, 6834/8346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5488/772, 6834/8346 i.e 2/3221556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5488/772, 6834/8346.
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 5488/772,6834/8346?
Given fractions are 5488/772,6834/8346
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 5488/772,6834/8346, numerators are 5488,6834
Denominators are 772,8346
The GCF of 5488,6834 is 2 .
LCM of 772,8346 is 3221556.
The greatest common factor of 5488/772,6834/8346 = [GCF of 5488,6834]/[LCM of 772,8346]= 2/3221556
Therefore, the GCF of 5488/772,6834/8346 is 2/3221556.
To find the highest common factor of 5488,6834, we have to find the factors of both numbers and list the highest common factor.
The factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488
The factors of 6834 are 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834
The HCF of 5488,6834 is 2.
Lets's calculate GCF of 5488,6834
| 2 | 5488, 6834 |
| 2744, 3417 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5488,6834 By Matching Biggest Common Factor Method
Now, list down the factors of 5488
:1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Now, list down the factors of 6834
:1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834
Greatest Common Factor
We found the factors 5488,6834 . The biggest common factor number is the GCF number.
So the greatest common factor 5488,6834 is 2.
Lets's calculate LCM of 772,8346
| 2 | 772, 8346 |
| 386, 4173 |
∴ So the LCM of the given numbers is 2 x 386 x 4173 = 3221556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3221556
Therefore, the GCF of Fractions 5488/772,6834/8346 is 2/3221556
Least Common Multiple of 772,8346 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 772,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,8346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,8346) x common factors =2 x 1 = 2
LCM(772,8346) = ( 772 × 8346 ) / 2
LCM(772,8346) = 6443112 / 2
LCM(772,8346) = 3221556
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FAQs on GCF of Fractions of 5488/772, 6834/8346
1. What is the HCF of 5488,6834?
The HCF of 5488,6834 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 5488/772, 6834/8346?
Answer: GCF of Numerators as per given numbers 5488/772, 6834/8346 is
GCF of Numerators i.e. for 5488,6834 is 2
LCM of denominators i.e. for 772,8346 is 3221556.
Thus, GCF of Fractions is 2/3221556.Finally, GCF of Fractions for 5488/772, 6834/8346 is 2/3221556.