GCF of 9745/916, 5688/1714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9745/916, 5688/1714 i.e 1/785012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9745/916, 5688/1714.
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 9745/916,5688/1714?
Given fractions are 9745/916,5688/1714
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 9745/916,5688/1714, numerators are 9745,5688
Denominators are 916,1714
The GCF of 9745,5688 is 1 .
LCM of 916,1714 is 785012.
The greatest common factor of 9745/916,5688/1714 = [GCF of 9745,5688]/[LCM of 916,1714]= 1/785012
Therefore, the GCF of 9745/916,5688/1714 is 1/785012.
To find the highest common factor of 9745,5688, we have to find the factors of both numbers and list the highest common factor.
The factors of 9745 are 1, 5, 1949, 9745
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The HCF of 9745,5688 is 1.
Lets's calculate GCF of 9745,5688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9745,5688 By Matching Biggest Common Factor Method
Now, list down the factors of 9745
:1,5,1949,9745
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 9745,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 9745,5688 is 1.
Lets's calculate LCM of 916,1714
| 2 | 916, 1714 |
| 458, 857 |
∴ So the LCM of the given numbers is 2 x 458 x 857 = 785012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785012
Therefore, the GCF of Fractions 9745/916,5688/1714 is 1/785012
Least Common Multiple of 916,1714 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 916,1714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,1714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,1714) x common factors =2 x 1 = 2
LCM(916,1714) = ( 916 × 1714 ) / 2
LCM(916,1714) = 1570024 / 2
LCM(916,1714) = 785012
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FAQs on GCF of Fractions of 9745/916, 5688/1714
1. What is the HCF of 9745,5688?
The HCF of 9745,5688 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 9745/916, 5688/1714?
Answer: GCF of Numerators as per given numbers 9745/916, 5688/1714 is
GCF of Numerators i.e. for 9745,5688 is 1
LCM of denominators i.e. for 916,1714 is 785012.
Thus, GCF of Fractions is 1/785012.Finally, GCF of Fractions for 9745/916, 5688/1714 is 1/785012.