GCF of 8749/766, 7822/7892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8749/766, 7822/7892 i.e 1/3022636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8749/766, 7822/7892.
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 8749/766,7822/7892?
Given fractions are 8749/766,7822/7892
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 8749/766,7822/7892, numerators are 8749,7822
Denominators are 766,7892
The GCF of 8749,7822 is 1 .
LCM of 766,7892 is 3022636.
The greatest common factor of 8749/766,7822/7892 = [GCF of 8749,7822]/[LCM of 766,7892]= 1/3022636
Therefore, the GCF of 8749/766,7822/7892 is 1/3022636.
To find the highest common factor of 8749,7822, we have to find the factors of both numbers and list the highest common factor.
The factors of 8749 are 1, 13, 673, 8749
The factors of 7822 are 1, 2, 3911, 7822
The HCF of 8749,7822 is 1.
Lets's calculate GCF of 8749,7822
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8749,7822 By Matching Biggest Common Factor Method
Now, list down the factors of 8749
:1,13,673,8749
Now, list down the factors of 7822
:1,2,3911,7822
Greatest Common Factor
We found the factors 8749,7822 . The biggest common factor number is the GCF number.
So the greatest common factor 8749,7822 is 1.
Lets's calculate LCM of 766,7892
| 2 | 766, 7892 |
| 383, 3946 |
∴ So the LCM of the given numbers is 2 x 383 x 3946 = 3022636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3022636
Therefore, the GCF of Fractions 8749/766,7822/7892 is 1/3022636
Least Common Multiple of 766,7892 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 766,7892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,7892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,7892) x common factors =2 x 1 = 2
LCM(766,7892) = ( 766 × 7892 ) / 2
LCM(766,7892) = 6045272 / 2
LCM(766,7892) = 3022636
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FAQs on GCF of Fractions of 8749/766, 7822/7892
1. What is the HCF of 8749,7822?
The HCF of 8749,7822 is 1
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 8749/766, 7822/7892?
Answer: GCF of Numerators as per given numbers 8749/766, 7822/7892 is
GCF of Numerators i.e. for 8749,7822 is 1
LCM of denominators i.e. for 766,7892 is 3022636.
Thus, GCF of Fractions is 1/3022636.Finally, GCF of Fractions for 8749/766, 7822/7892 is 1/3022636.