GCF of 6614/704, 4380/5584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6614/704, 4380/5584 i.e 2/245696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6614/704, 4380/5584.
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 6614/704,4380/5584?
Given fractions are 6614/704,4380/5584
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 6614/704,4380/5584, numerators are 6614,4380
Denominators are 704,5584
The GCF of 6614,4380 is 2 .
LCM of 704,5584 is 245696.
The greatest common factor of 6614/704,4380/5584 = [GCF of 6614,4380]/[LCM of 704,5584]= 2/245696
Therefore, the GCF of 6614/704,4380/5584 is 2/245696.
To find the highest common factor of 6614,4380, we have to find the factors of both numbers and list the highest common factor.
The factors of 6614 are 1, 2, 3307, 6614
The factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380
The HCF of 6614,4380 is 2.
Lets's calculate GCF of 6614,4380
| 2 | 6614, 4380 |
| 3307, 2190 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6614,4380 By Matching Biggest Common Factor Method
Now, list down the factors of 6614
:1,2,3307,6614
Now, list down the factors of 4380
:1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380
Greatest Common Factor
We found the factors 6614,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 6614,4380 is 2.
Lets's calculate LCM of 704,5584
| 2 | 704, 5584 |
| 2 | 352, 2792 |
| 2 | 176, 1396 |
| 2 | 88, 698 |
| 44, 349 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 44 x 349 = 245696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/245696
Therefore, the GCF of Fractions 6614/704,4380/5584 is 2/245696
Least Common Multiple of 704,5584 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 704,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,5584) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(704,5584) x common factors =16 x 1 = 16
LCM(704,5584) = ( 704 × 5584 ) / 16
LCM(704,5584) = 3931136 / 16
LCM(704,5584) = 245696
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FAQs on GCF of Fractions of 6614/704, 4380/5584
1. What is the HCF of 6614,4380?
The HCF of 6614,4380 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 6614/704, 4380/5584?
Answer: GCF of Numerators as per given numbers 6614/704, 4380/5584 is
GCF of Numerators i.e. for 6614,4380 is 2
LCM of denominators i.e. for 704,5584 is 245696.
Thus, GCF of Fractions is 2/245696.Finally, GCF of Fractions for 6614/704, 4380/5584 is 2/245696.