GCF of 8950/766, 6760/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8950/766, 6760/922 i.e 10/353126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8950/766, 6760/922.
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 8950/766,6760/922?
Given fractions are 8950/766,6760/922
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 8950/766,6760/922, numerators are 8950,6760
Denominators are 766,922
The GCF of 8950,6760 is 10 .
LCM of 766,922 is 353126.
The greatest common factor of 8950/766,6760/922 = [GCF of 8950,6760]/[LCM of 766,922]= 10/353126
Therefore, the GCF of 8950/766,6760/922 is 10/353126.
To find the highest common factor of 8950,6760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950
The factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760
The HCF of 8950,6760 is 10.
Lets's calculate GCF of 8950,6760
| 2 | 8950, 6760 |
| 5 | 4475, 3380 |
| 895, 676 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8950,6760 By Matching Biggest Common Factor Method
Now, list down the factors of 8950
:1,2,5,10,25,50,179,358,895,1790,4475,8950
Now, list down the factors of 6760
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760
Greatest Common Factor
We found the factors 8950,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 8950,6760 is 10.
Lets's calculate LCM of 766,922
| 2 | 766, 922 |
| 383, 461 |
∴ So the LCM of the given numbers is 2 x 383 x 461 = 353126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/353126
Therefore, the GCF of Fractions 8950/766,6760/922 is 10/353126
Least Common Multiple of 766,922 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 766,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,922) x common factors =2 x 1 = 2
LCM(766,922) = ( 766 × 922 ) / 2
LCM(766,922) = 706252 / 2
LCM(766,922) = 353126
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FAQs on GCF of Fractions of 8950/766, 6760/922
1. What is the HCF of 8950,6760?
The HCF of 8950,6760 is 10
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 8950/766, 6760/922?
Answer: GCF of Numerators as per given numbers 8950/766, 6760/922 is
GCF of Numerators i.e. for 8950,6760 is 10
LCM of denominators i.e. for 766,922 is 353126.
Thus, GCF of Fractions is 10/353126.Finally, GCF of Fractions for 8950/766, 6760/922 is 10/353126.