GCF of 1102/909, 7068/6481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1102/909, 7068/6481 i.e 38/5891229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1102/909, 7068/6481.
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 1102/909,7068/6481?
Given fractions are 1102/909,7068/6481
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 1102/909,7068/6481, numerators are 1102,7068
Denominators are 909,6481
The GCF of 1102,7068 is 38 .
LCM of 909,6481 is 5891229.
The greatest common factor of 1102/909,7068/6481 = [GCF of 1102,7068]/[LCM of 909,6481]= 38/5891229
Therefore, the GCF of 1102/909,7068/6481 is 38/5891229.
To find the highest common factor of 1102,7068, we have to find the factors of both numbers and list the highest common factor.
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068
The HCF of 1102,7068 is 38.
Lets's calculate GCF of 1102,7068
| 2 | 1102, 7068 |
| 19 | 551, 3534 |
| 29, 186 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 1102,7068 By Matching Biggest Common Factor Method
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Now, list down the factors of 7068
:1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068
Greatest Common Factor
We found the factors 1102,7068 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,7068 is 38.
Lets's calculate LCM of 909,6481
Given numbers has no common factors except 1. So, there LCM is their product i.e 5891229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/5891229
Therefore, the GCF of Fractions 1102/909,7068/6481 is 38/5891229
Least Common Multiple of 909,6481 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 909,6481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,6481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,6481) x common factors =1 x 1 = 1
LCM(909,6481) = ( 909 × 6481 ) / 1
LCM(909,6481) = 5891229 / 1
LCM(909,6481) = 5891229
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FAQs on GCF of Fractions of 1102/909, 7068/6481
1. What is the HCF of 1102,7068?
The HCF of 1102,7068 is 38
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 1102/909, 7068/6481?
Answer: GCF of Numerators as per given numbers 1102/909, 7068/6481 is
GCF of Numerators i.e. for 1102,7068 is 38
LCM of denominators i.e. for 909,6481 is 5891229.
Thus, GCF of Fractions is 38/5891229.Finally, GCF of Fractions for 1102/909, 7068/6481 is 38/5891229.