GCF of 7826/776, 8869/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7826/776, 8869/762 i.e 7/295656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7826/776, 8869/762.
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 7826/776,8869/762?
Given fractions are 7826/776,8869/762
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 7826/776,8869/762, numerators are 7826,8869
Denominators are 776,762
The GCF of 7826,8869 is 7 .
LCM of 776,762 is 295656.
The greatest common factor of 7826/776,8869/762 = [GCF of 7826,8869]/[LCM of 776,762]= 7/295656
Therefore, the GCF of 7826/776,8869/762 is 7/295656.
To find the highest common factor of 7826,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 7826,8869 is 7.
Lets's calculate GCF of 7826,8869
| 7 | 7826, 8869 |
| 1118, 1267 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7826,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 7826
:1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 7826,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 7826,8869 is 7.
Lets's calculate LCM of 776,762
| 2 | 776, 762 |
| 388, 381 |
∴ So the LCM of the given numbers is 2 x 388 x 381 = 295656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/295656
Therefore, the GCF of Fractions 7826/776,8869/762 is 7/295656
Least Common Multiple of 776,762 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 776,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,762) x common factors =2 x 1 = 2
LCM(776,762) = ( 776 × 762 ) / 2
LCM(776,762) = 591312 / 2
LCM(776,762) = 295656
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FAQs on GCF of Fractions of 7826/776, 8869/762
1. What is the HCF of 7826,8869?
The HCF of 7826,8869 is 7
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 7826/776, 8869/762?
Answer: GCF of Numerators as per given numbers 7826/776, 8869/762 is
GCF of Numerators i.e. for 7826,8869 is 7
LCM of denominators i.e. for 776,762 is 295656.
Thus, GCF of Fractions is 7/295656.Finally, GCF of Fractions for 7826/776, 8869/762 is 7/295656.