GCF of 8722/536, 6076/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8722/536, 6076/834 i.e 98/223512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8722/536, 6076/834.
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 8722/536,6076/834?
Given fractions are 8722/536,6076/834
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 8722/536,6076/834, numerators are 8722,6076
Denominators are 536,834
The GCF of 8722,6076 is 98 .
LCM of 536,834 is 223512.
The greatest common factor of 8722/536,6076/834 = [GCF of 8722,6076]/[LCM of 536,834]= 98/223512
Therefore, the GCF of 8722/536,6076/834 is 98/223512.
To find the highest common factor of 8722,6076, we have to find the factors of both numbers and list the highest common factor.
The factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The HCF of 8722,6076 is 98.
Lets's calculate GCF of 8722,6076
| 2 | 8722, 6076 |
| 7 | 4361, 3038 |
| 7 | 623, 434 |
| 89, 62 |
∴ So the GCF of the given numbers is 2 x 7 x 7 = 98
Greatest Common Factor of 8722,6076 By Matching Biggest Common Factor Method
Now, list down the factors of 8722
:1,2,7,14,49,89,98,178,623,1246,4361,8722
Now, list down the factors of 6076
:1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Greatest Common Factor
We found the factors 8722,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 8722,6076 is 98.
Lets's calculate LCM of 536,834
| 2 | 536, 834 |
| 268, 417 |
∴ So the LCM of the given numbers is 2 x 268 x 417 = 223512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 98/223512
Therefore, the GCF of Fractions 8722/536,6076/834 is 98/223512
Least Common Multiple of 536,834 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 536,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,834) x common factors =2 x 1 = 2
LCM(536,834) = ( 536 × 834 ) / 2
LCM(536,834) = 447024 / 2
LCM(536,834) = 223512
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FAQs on GCF of Fractions of 8722/536, 6076/834
1. What is the HCF of 8722,6076?
The HCF of 8722,6076 is 98
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 8722/536, 6076/834?
Answer: GCF of Numerators as per given numbers 8722/536, 6076/834 is
GCF of Numerators i.e. for 8722,6076 is 98
LCM of denominators i.e. for 536,834 is 223512.
Thus, GCF of Fractions is 98/223512.Finally, GCF of Fractions for 8722/536, 6076/834 is 98/223512.