GCF of 8778/232, 6908/9028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8778/232, 6908/9028 i.e 22/523624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8778/232, 6908/9028.
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 8778/232,6908/9028?
Given fractions are 8778/232,6908/9028
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 8778/232,6908/9028, numerators are 8778,6908
Denominators are 232,9028
The GCF of 8778,6908 is 22 .
LCM of 232,9028 is 523624.
The greatest common factor of 8778/232,6908/9028 = [GCF of 8778,6908]/[LCM of 232,9028]= 22/523624
Therefore, the GCF of 8778/232,6908/9028 is 22/523624.
To find the highest common factor of 8778,6908, we have to find the factors of both numbers and list the highest common factor.
The factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778
The factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908
The HCF of 8778,6908 is 22.
Lets's calculate GCF of 8778,6908
| 2 | 8778, 6908 |
| 11 | 4389, 3454 |
| 399, 314 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8778,6908 By Matching Biggest Common Factor Method
Now, list down the factors of 8778
:1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778
Now, list down the factors of 6908
:1,2,4,11,22,44,157,314,628,1727,3454,6908
Greatest Common Factor
We found the factors 8778,6908 . The biggest common factor number is the GCF number.
So the greatest common factor 8778,6908 is 22.
Lets's calculate LCM of 232,9028
| 2 | 232, 9028 |
| 2 | 116, 4514 |
| 58, 2257 |
∴ So the LCM of the given numbers is 2 x 2 x 58 x 2257 = 523624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/523624
Therefore, the GCF of Fractions 8778/232,6908/9028 is 22/523624
Least Common Multiple of 232,9028 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 232,9028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,9028) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(232,9028) x common factors =4 x 1 = 4
LCM(232,9028) = ( 232 × 9028 ) / 4
LCM(232,9028) = 2094496 / 4
LCM(232,9028) = 523624
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FAQs on GCF of Fractions of 8778/232, 6908/9028
1. What is the HCF of 8778,6908?
The HCF of 8778,6908 is 22
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 8778/232, 6908/9028?
Answer: GCF of Numerators as per given numbers 8778/232, 6908/9028 is
GCF of Numerators i.e. for 8778,6908 is 22
LCM of denominators i.e. for 232,9028 is 523624.
Thus, GCF of Fractions is 22/523624.Finally, GCF of Fractions for 8778/232, 6908/9028 is 22/523624.