GCF of 8808/942, 3514/2774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8808/942, 3514/2774 i.e 2/1306554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8808/942, 3514/2774.
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 8808/942,3514/2774?
Given fractions are 8808/942,3514/2774
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 8808/942,3514/2774, numerators are 8808,3514
Denominators are 942,2774
The GCF of 8808,3514 is 2 .
LCM of 942,2774 is 1306554.
The greatest common factor of 8808/942,3514/2774 = [GCF of 8808,3514]/[LCM of 942,2774]= 2/1306554
Therefore, the GCF of 8808/942,3514/2774 is 2/1306554.
To find the highest common factor of 8808,3514, we have to find the factors of both numbers and list the highest common factor.
The factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The HCF of 8808,3514 is 2.
Lets's calculate GCF of 8808,3514
| 2 | 8808, 3514 |
| 4404, 1757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8808,3514 By Matching Biggest Common Factor Method
Now, list down the factors of 8808
:1,2,3,4,6,8,12,24,367,734,1101,1468,2202,2936,4404,8808
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Greatest Common Factor
We found the factors 8808,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 8808,3514 is 2.
Lets's calculate LCM of 942,2774
| 2 | 942, 2774 |
| 471, 1387 |
∴ So the LCM of the given numbers is 2 x 471 x 1387 = 1306554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1306554
Therefore, the GCF of Fractions 8808/942,3514/2774 is 2/1306554
Least Common Multiple of 942,2774 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 942,2774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,2774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,2774) x common factors =2 x 1 = 2
LCM(942,2774) = ( 942 × 2774 ) / 2
LCM(942,2774) = 2613108 / 2
LCM(942,2774) = 1306554
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FAQs on GCF of Fractions of 8808/942, 3514/2774
1. What is the HCF of 8808,3514?
The HCF of 8808,3514 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 8808/942, 3514/2774?
Answer: GCF of Numerators as per given numbers 8808/942, 3514/2774 is
GCF of Numerators i.e. for 8808,3514 is 2
LCM of denominators i.e. for 942,2774 is 1306554.
Thus, GCF of Fractions is 2/1306554.Finally, GCF of Fractions for 8808/942, 3514/2774 is 2/1306554.