GCF of 8780/910, 2848/3588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8780/910, 2848/3588 i.e 4/125580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8780/910, 2848/3588.
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 8780/910,2848/3588?
Given fractions are 8780/910,2848/3588
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 8780/910,2848/3588, numerators are 8780,2848
Denominators are 910,3588
The GCF of 8780,2848 is 4 .
LCM of 910,3588 is 125580.
The greatest common factor of 8780/910,2848/3588 = [GCF of 8780,2848]/[LCM of 910,3588]= 4/125580
Therefore, the GCF of 8780/910,2848/3588 is 4/125580.
To find the highest common factor of 8780,2848, we have to find the factors of both numbers and list the highest common factor.
The factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780
The factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848
The HCF of 8780,2848 is 4.
Lets's calculate GCF of 8780,2848
| 2 | 8780, 2848 |
| 2 | 4390, 1424 |
| 2195, 712 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8780,2848 By Matching Biggest Common Factor Method
Now, list down the factors of 8780
:1,2,4,5,10,20,439,878,1756,2195,4390,8780
Now, list down the factors of 2848
:1,2,4,8,16,32,89,178,356,712,1424,2848
Greatest Common Factor
We found the factors 8780,2848 . The biggest common factor number is the GCF number.
So the greatest common factor 8780,2848 is 4.
Lets's calculate LCM of 910,3588
| 2 | 910, 3588 |
| 13 | 455, 1794 |
| 35, 138 |
∴ So the LCM of the given numbers is 2 x 13 x 35 x 138 = 125580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/125580
Therefore, the GCF of Fractions 8780/910,2848/3588 is 4/125580
Least Common Multiple of 910,3588 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 910,3588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,3588) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(910,3588) x common factors =26 x 1 = 26
LCM(910,3588) = ( 910 × 3588 ) / 26
LCM(910,3588) = 3265080 / 26
LCM(910,3588) = 125580
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FAQs on GCF of Fractions of 8780/910, 2848/3588
1. What is the HCF of 8780,2848?
The HCF of 8780,2848 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 8780/910, 2848/3588?
Answer: GCF of Numerators as per given numbers 8780/910, 2848/3588 is
GCF of Numerators i.e. for 8780,2848 is 4
LCM of denominators i.e. for 910,3588 is 125580.
Thus, GCF of Fractions is 4/125580.Finally, GCF of Fractions for 8780/910, 2848/3588 is 4/125580.