GCF of 5508/999, 8534/9790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5508/999, 8534/9790 i.e 34/9780210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5508/999, 8534/9790.
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 5508/999,8534/9790?
Given fractions are 5508/999,8534/9790
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 5508/999,8534/9790, numerators are 5508,8534
Denominators are 999,9790
The GCF of 5508,8534 is 34 .
LCM of 999,9790 is 9780210.
The greatest common factor of 5508/999,8534/9790 = [GCF of 5508,8534]/[LCM of 999,9790]= 34/9780210
Therefore, the GCF of 5508/999,8534/9790 is 34/9780210.
To find the highest common factor of 5508,8534, we have to find the factors of both numbers and list the highest common factor.
The factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508
The factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534
The HCF of 5508,8534 is 34.
Lets's calculate GCF of 5508,8534
| 2 | 5508, 8534 |
| 17 | 2754, 4267 |
| 162, 251 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 5508,8534 By Matching Biggest Common Factor Method
Now, list down the factors of 5508
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Now, list down the factors of 8534
:1,2,17,34,251,502,4267,8534
Greatest Common Factor
We found the factors 5508,8534 . The biggest common factor number is the GCF number.
So the greatest common factor 5508,8534 is 34.
Lets's calculate LCM of 999,9790
Given numbers has no common factors except 1. So, there LCM is their product i.e 9780210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/9780210
Therefore, the GCF of Fractions 5508/999,8534/9790 is 34/9780210
Least Common Multiple of 999,9790 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 999,9790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,9790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,9790) x common factors =1 x 1 = 1
LCM(999,9790) = ( 999 × 9790 ) / 1
LCM(999,9790) = 9780210 / 1
LCM(999,9790) = 9780210
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FAQs on GCF of Fractions of 5508/999, 8534/9790
1. What is the HCF of 5508,8534?
The HCF of 5508,8534 is 34
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 5508/999, 8534/9790?
Answer: GCF of Numerators as per given numbers 5508/999, 8534/9790 is
GCF of Numerators i.e. for 5508,8534 is 34
LCM of denominators i.e. for 999,9790 is 9780210.
Thus, GCF of Fractions is 34/9780210.Finally, GCF of Fractions for 5508/999, 8534/9790 is 34/9780210.