GCF of 4292/974, 4984/1424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4292/974, 4984/1424 i.e 4/693488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4292/974, 4984/1424.
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 4292/974,4984/1424?
Given fractions are 4292/974,4984/1424
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 4292/974,4984/1424, numerators are 4292,4984
Denominators are 974,1424
The GCF of 4292,4984 is 4 .
LCM of 974,1424 is 693488.
The greatest common factor of 4292/974,4984/1424 = [GCF of 4292,4984]/[LCM of 974,1424]= 4/693488
Therefore, the GCF of 4292/974,4984/1424 is 4/693488.
To find the highest common factor of 4292,4984, we have to find the factors of both numbers and list the highest common factor.
The factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292
The factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984
The HCF of 4292,4984 is 4.
Lets's calculate GCF of 4292,4984
| 2 | 4292, 4984 |
| 2 | 2146, 2492 |
| 1073, 1246 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4292,4984 By Matching Biggest Common Factor Method
Now, list down the factors of 4292
:1,2,4,29,37,58,74,116,148,1073,2146,4292
Now, list down the factors of 4984
:1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984
Greatest Common Factor
We found the factors 4292,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 4292,4984 is 4.
Lets's calculate LCM of 974,1424
| 2 | 974, 1424 |
| 487, 712 |
∴ So the LCM of the given numbers is 2 x 487 x 712 = 693488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/693488
Therefore, the GCF of Fractions 4292/974,4984/1424 is 4/693488
Least Common Multiple of 974,1424 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 974,1424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,1424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,1424) x common factors =2 x 1 = 2
LCM(974,1424) = ( 974 × 1424 ) / 2
LCM(974,1424) = 1386976 / 2
LCM(974,1424) = 693488
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4292/974, 4984/1424
1. What is the HCF of 4292,4984?
The HCF of 4292,4984 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 4292/974, 4984/1424?
Answer: GCF of Numerators as per given numbers 4292/974, 4984/1424 is
GCF of Numerators i.e. for 4292,4984 is 4
LCM of denominators i.e. for 974,1424 is 693488.
Thus, GCF of Fractions is 4/693488.Finally, GCF of Fractions for 4292/974, 4984/1424 is 4/693488.