GCF of 1085/708, 9721/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1085/708, 9721/304 i.e 1/53808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1085/708, 9721/304.
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 1085/708,9721/304?
Given fractions are 1085/708,9721/304
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 1085/708,9721/304, numerators are 1085,9721
Denominators are 708,304
The GCF of 1085,9721 is 1 .
LCM of 708,304 is 53808.
The greatest common factor of 1085/708,9721/304 = [GCF of 1085,9721]/[LCM of 708,304]= 1/53808
Therefore, the GCF of 1085/708,9721/304 is 1/53808.
To find the highest common factor of 1085,9721, we have to find the factors of both numbers and list the highest common factor.
The factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085
The factors of 9721 are 1, 9721
The HCF of 1085,9721 is 1.
Lets's calculate GCF of 1085,9721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1085,9721 By Matching Biggest Common Factor Method
Now, list down the factors of 1085
:1,5,7,31,35,155,217,1085
Now, list down the factors of 9721
:1,9721
Greatest Common Factor
We found the factors 1085,9721 . The biggest common factor number is the GCF number.
So the greatest common factor 1085,9721 is 1.
Lets's calculate LCM of 708,304
| 2 | 708, 304 |
| 2 | 354, 152 |
| 177, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 76 = 53808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53808
Therefore, the GCF of Fractions 1085/708,9721/304 is 1/53808
Least Common Multiple of 708,304 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 708,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,304) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(708,304) x common factors =4 x 1 = 4
LCM(708,304) = ( 708 × 304 ) / 4
LCM(708,304) = 215232 / 4
LCM(708,304) = 53808
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FAQs on GCF of Fractions of 1085/708, 9721/304
1. What is the HCF of 1085,9721?
The HCF of 1085,9721 is 1
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 1085/708, 9721/304?
Answer: GCF of Numerators as per given numbers 1085/708, 9721/304 is
GCF of Numerators i.e. for 1085,9721 is 1
LCM of denominators i.e. for 708,304 is 53808.
Thus, GCF of Fractions is 1/53808.Finally, GCF of Fractions for 1085/708, 9721/304 is 1/53808.