GCF of 5970/868, 9690/137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5970/868, 9690/137 i.e 30/118916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5970/868, 9690/137.
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 5970/868,9690/137?
Given fractions are 5970/868,9690/137
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 5970/868,9690/137, numerators are 5970,9690
Denominators are 868,137
The GCF of 5970,9690 is 30 .
LCM of 868,137 is 118916.
The greatest common factor of 5970/868,9690/137 = [GCF of 5970,9690]/[LCM of 868,137]= 30/118916
Therefore, the GCF of 5970/868,9690/137 is 30/118916.
To find the highest common factor of 5970,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The HCF of 5970,9690 is 30.
Lets's calculate GCF of 5970,9690
| 2 | 5970, 9690 |
| 3 | 2985, 4845 |
| 5 | 995, 1615 |
| 199, 323 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5970,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 5970,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,9690 is 30.
Lets's calculate LCM of 868,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 118916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/118916
Therefore, the GCF of Fractions 5970/868,9690/137 is 30/118916
Least Common Multiple of 868,137 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 868,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,137) x common factors =1 x 1 = 1
LCM(868,137) = ( 868 × 137 ) / 1
LCM(868,137) = 118916 / 1
LCM(868,137) = 118916
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FAQs on GCF of Fractions of 5970/868, 9690/137
1. What is the HCF of 5970,9690?
The HCF of 5970,9690 is 30
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 5970/868, 9690/137?
Answer: GCF of Numerators as per given numbers 5970/868, 9690/137 is
GCF of Numerators i.e. for 5970,9690 is 30
LCM of denominators i.e. for 868,137 is 118916.
Thus, GCF of Fractions is 30/118916.Finally, GCF of Fractions for 5970/868, 9690/137 is 30/118916.