GCF of 7882/642, 4564/5338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7882/642, 4564/5338 i.e 14/1713498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7882/642, 4564/5338.
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 7882/642,4564/5338?
Given fractions are 7882/642,4564/5338
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 7882/642,4564/5338, numerators are 7882,4564
Denominators are 642,5338
The GCF of 7882,4564 is 14 .
LCM of 642,5338 is 1713498.
The greatest common factor of 7882/642,4564/5338 = [GCF of 7882,4564]/[LCM of 642,5338]= 14/1713498
Therefore, the GCF of 7882/642,4564/5338 is 14/1713498.
To find the highest common factor of 7882,4564, we have to find the factors of both numbers and list the highest common factor.
The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The HCF of 7882,4564 is 14.
Lets's calculate GCF of 7882,4564
| 2 | 7882, 4564 |
| 7 | 3941, 2282 |
| 563, 326 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7882,4564 By Matching Biggest Common Factor Method
Now, list down the factors of 7882
:1,2,7,14,563,1126,3941,7882
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Greatest Common Factor
We found the factors 7882,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 7882,4564 is 14.
Lets's calculate LCM of 642,5338
| 2 | 642, 5338 |
| 321, 2669 |
∴ So the LCM of the given numbers is 2 x 321 x 2669 = 1713498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1713498
Therefore, the GCF of Fractions 7882/642,4564/5338 is 14/1713498
Least Common Multiple of 642,5338 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 642,5338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,5338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,5338) x common factors =2 x 1 = 2
LCM(642,5338) = ( 642 × 5338 ) / 2
LCM(642,5338) = 3426996 / 2
LCM(642,5338) = 1713498
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FAQs on GCF of Fractions of 7882/642, 4564/5338
1. What is the HCF of 7882,4564?
The HCF of 7882,4564 is 14
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 7882/642, 4564/5338?
Answer: GCF of Numerators as per given numbers 7882/642, 4564/5338 is
GCF of Numerators i.e. for 7882,4564 is 14
LCM of denominators i.e. for 642,5338 is 1713498.
Thus, GCF of Fractions is 14/1713498.Finally, GCF of Fractions for 7882/642, 4564/5338 is 14/1713498.