GCF of 7822/765, 7122/9876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7822/765, 7122/9876 i.e 2/2518380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7822/765, 7122/9876.
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 7822/765,7122/9876?
Given fractions are 7822/765,7122/9876
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 7822/765,7122/9876, numerators are 7822,7122
Denominators are 765,9876
The GCF of 7822,7122 is 2 .
LCM of 765,9876 is 2518380.
The greatest common factor of 7822/765,7122/9876 = [GCF of 7822,7122]/[LCM of 765,9876]= 2/2518380
Therefore, the GCF of 7822/765,7122/9876 is 2/2518380.
To find the highest common factor of 7822,7122, we have to find the factors of both numbers and list the highest common factor.
The factors of 7822 are 1, 2, 3911, 7822
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The HCF of 7822,7122 is 2.
Lets's calculate GCF of 7822,7122
| 2 | 7822, 7122 |
| 3911, 3561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7822,7122 By Matching Biggest Common Factor Method
Now, list down the factors of 7822
:1,2,3911,7822
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 7822,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 7822,7122 is 2.
Lets's calculate LCM of 765,9876
| 3 | 765, 9876 |
| 255, 3292 |
∴ So the LCM of the given numbers is 3 x 255 x 3292 = 2518380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2518380
Therefore, the GCF of Fractions 7822/765,7122/9876 is 2/2518380
Least Common Multiple of 765,9876 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 765,9876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,9876) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(765,9876) x common factors =3 x 1 = 3
LCM(765,9876) = ( 765 × 9876 ) / 3
LCM(765,9876) = 7555140 / 3
LCM(765,9876) = 2518380
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FAQs on GCF of Fractions of 7822/765, 7122/9876
1. What is the HCF of 7822,7122?
The HCF of 7822,7122 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 7822/765, 7122/9876?
Answer: GCF of Numerators as per given numbers 7822/765, 7122/9876 is
GCF of Numerators i.e. for 7822,7122 is 2
LCM of denominators i.e. for 765,9876 is 2518380.
Thus, GCF of Fractions is 2/2518380.Finally, GCF of Fractions for 7822/765, 7122/9876 is 2/2518380.