GCF of 5326/770, 8426/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5326/770, 8426/204 i.e 2/78540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5326/770, 8426/204.
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 5326/770,8426/204?
Given fractions are 5326/770,8426/204
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 5326/770,8426/204, numerators are 5326,8426
Denominators are 770,204
The GCF of 5326,8426 is 2 .
LCM of 770,204 is 78540.
The greatest common factor of 5326/770,8426/204 = [GCF of 5326,8426]/[LCM of 770,204]= 2/78540
Therefore, the GCF of 5326/770,8426/204 is 2/78540.
To find the highest common factor of 5326,8426, we have to find the factors of both numbers and list the highest common factor.
The factors of 5326 are 1, 2, 2663, 5326
The factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426
The HCF of 5326,8426 is 2.
Lets's calculate GCF of 5326,8426
| 2 | 5326, 8426 |
| 2663, 4213 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5326,8426 By Matching Biggest Common Factor Method
Now, list down the factors of 5326
:1,2,2663,5326
Now, list down the factors of 8426
:1,2,11,22,383,766,4213,8426
Greatest Common Factor
We found the factors 5326,8426 . The biggest common factor number is the GCF number.
So the greatest common factor 5326,8426 is 2.
Lets's calculate LCM of 770,204
| 2 | 770, 204 |
| 385, 102 |
∴ So the LCM of the given numbers is 2 x 385 x 102 = 78540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78540
Therefore, the GCF of Fractions 5326/770,8426/204 is 2/78540
Least Common Multiple of 770,204 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 770,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,204) x common factors =2 x 1 = 2
LCM(770,204) = ( 770 × 204 ) / 2
LCM(770,204) = 157080 / 2
LCM(770,204) = 78540
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FAQs on GCF of Fractions of 5326/770, 8426/204
1. What is the HCF of 5326,8426?
The HCF of 5326,8426 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 5326/770, 8426/204?
Answer: GCF of Numerators as per given numbers 5326/770, 8426/204 is
GCF of Numerators i.e. for 5326,8426 is 2
LCM of denominators i.e. for 770,204 is 78540.
Thus, GCF of Fractions is 2/78540.Finally, GCF of Fractions for 5326/770, 8426/204 is 2/78540.