GCF of 492/456, 676/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 492/456, 676/874 i.e 4/10488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/456, 676/874.
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 492/456,676/874?
Given fractions are 492/456,676/874
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 492/456,676/874, numerators are 492,676
Denominators are 456,874
The GCF of 492,676 is 4 .
LCM of 456,874 is 10488.
The greatest common factor of 492/456,676/874 = [GCF of 492,676]/[LCM of 456,874]= 4/10488
Therefore, the GCF of 492/456,676/874 is 4/10488.
To find the highest common factor of 492,676, we have to find the factors of both numbers and list the highest common factor.
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The HCF of 492,676 is 4.
Lets's calculate GCF of 492,676
| 2 | 492, 676 |
| 2 | 246, 338 |
| 123, 169 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 492,676 By Matching Biggest Common Factor Method
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 492,676 . The biggest common factor number is the GCF number.
So the greatest common factor 492,676 is 4.
Lets's calculate LCM of 456,874
| 2 | 456, 874 |
| 19 | 228, 437 |
| 12, 23 |
∴ So the LCM of the given numbers is 2 x 19 x 12 x 23 = 10488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10488
Therefore, the GCF of Fractions 492/456,676/874 is 4/10488
Least Common Multiple of 456,874 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 456,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,874) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(456,874) x common factors =38 x 1 = 38
LCM(456,874) = ( 456 × 874 ) / 38
LCM(456,874) = 398544 / 38
LCM(456,874) = 10488
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FAQs on GCF of Fractions of 492/456, 676/874
1. What is the HCF of 492,676?
The HCF of 492,676 is 4
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 492/456, 676/874?
Answer: GCF of Numerators as per given numbers 492/456, 676/874 is
GCF of Numerators i.e. for 492,676 is 4
LCM of denominators i.e. for 456,874 is 10488.
Thus, GCF of Fractions is 4/10488.Finally, GCF of Fractions for 492/456, 676/874 is 4/10488.