GCF of 748/522, 836/994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 748/522, 836/994 i.e 44/259434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 748/522, 836/994.
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 748/522,836/994?
Given fractions are 748/522,836/994
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 748/522,836/994, numerators are 748,836
Denominators are 522,994
The GCF of 748,836 is 44 .
LCM of 522,994 is 259434.
The greatest common factor of 748/522,836/994 = [GCF of 748,836]/[LCM of 522,994]= 44/259434
Therefore, the GCF of 748/522,836/994 is 44/259434.
To find the highest common factor of 748,836, we have to find the factors of both numbers and list the highest common factor.
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The HCF of 748,836 is 44.
Lets's calculate GCF of 748,836
| 2 | 748, 836 |
| 2 | 374, 418 |
| 11 | 187, 209 |
| 17, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 748,836 By Matching Biggest Common Factor Method
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 748,836 . The biggest common factor number is the GCF number.
So the greatest common factor 748,836 is 44.
Lets's calculate LCM of 522,994
| 2 | 522, 994 |
| 261, 497 |
∴ So the LCM of the given numbers is 2 x 261 x 497 = 259434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/259434
Therefore, the GCF of Fractions 748/522,836/994 is 44/259434
Least Common Multiple of 522,994 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 522,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,994) x common factors =2 x 1 = 2
LCM(522,994) = ( 522 × 994 ) / 2
LCM(522,994) = 518868 / 2
LCM(522,994) = 259434
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FAQs on GCF of Fractions of 748/522, 836/994
1. What is the HCF of 748,836?
The HCF of 748,836 is 44
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 748/522, 836/994?
Answer: GCF of Numerators as per given numbers 748/522, 836/994 is
GCF of Numerators i.e. for 748,836 is 44
LCM of denominators i.e. for 522,994 is 259434.
Thus, GCF of Fractions is 44/259434.Finally, GCF of Fractions for 748/522, 836/994 is 44/259434.