GCF of 2762/572, 3504/6246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2762/572, 3504/6246 i.e 2/1786356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2762/572, 3504/6246.
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 2762/572,3504/6246?
Given fractions are 2762/572,3504/6246
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 2762/572,3504/6246, numerators are 2762,3504
Denominators are 572,6246
The GCF of 2762,3504 is 2 .
LCM of 572,6246 is 1786356.
The greatest common factor of 2762/572,3504/6246 = [GCF of 2762,3504]/[LCM of 572,6246]= 2/1786356
Therefore, the GCF of 2762/572,3504/6246 is 2/1786356.
To find the highest common factor of 2762,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2762 are 1, 2, 1381, 2762
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 2762,3504 is 2.
Lets's calculate GCF of 2762,3504
| 2 | 2762, 3504 |
| 1381, 1752 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2762,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 2762
:1,2,1381,2762
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 2762,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 2762,3504 is 2.
Lets's calculate LCM of 572,6246
| 2 | 572, 6246 |
| 286, 3123 |
∴ So the LCM of the given numbers is 2 x 286 x 3123 = 1786356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1786356
Therefore, the GCF of Fractions 2762/572,3504/6246 is 2/1786356
Least Common Multiple of 572,6246 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 572,6246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,6246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,6246) x common factors =2 x 1 = 2
LCM(572,6246) = ( 572 × 6246 ) / 2
LCM(572,6246) = 3572712 / 2
LCM(572,6246) = 1786356
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2762/572, 3504/6246
1. What is the HCF of 2762,3504?
The HCF of 2762,3504 is 2
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 2762/572, 3504/6246?
Answer: GCF of Numerators as per given numbers 2762/572, 3504/6246 is
GCF of Numerators i.e. for 2762,3504 is 2
LCM of denominators i.e. for 572,6246 is 1786356.
Thus, GCF of Fractions is 2/1786356.Finally, GCF of Fractions for 2762/572, 3504/6246 is 2/1786356.