GCF of 5970/187, 7710/5422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5970/187, 7710/5422 i.e 30/1013914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5970/187, 7710/5422.
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 5970/187,7710/5422?
Given fractions are 5970/187,7710/5422
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 5970/187,7710/5422, numerators are 5970,7710
Denominators are 187,5422
The GCF of 5970,7710 is 30 .
LCM of 187,5422 is 1013914.
The greatest common factor of 5970/187,7710/5422 = [GCF of 5970,7710]/[LCM of 187,5422]= 30/1013914
Therefore, the GCF of 5970/187,7710/5422 is 30/1013914.
To find the highest common factor of 5970,7710, 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 7710 are 1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710
The HCF of 5970,7710 is 30.
Lets's calculate GCF of 5970,7710
| 2 | 5970, 7710 |
| 3 | 2985, 3855 |
| 5 | 995, 1285 |
| 199, 257 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5970,7710 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 7710
:1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710
Greatest Common Factor
We found the factors 5970,7710 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,7710 is 30.
Lets's calculate LCM of 187,5422
Given numbers has no common factors except 1. So, there LCM is their product i.e 1013914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1013914
Therefore, the GCF of Fractions 5970/187,7710/5422 is 30/1013914
Least Common Multiple of 187,5422 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 187,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,5422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,5422) x common factors =1 x 1 = 1
LCM(187,5422) = ( 187 × 5422 ) / 1
LCM(187,5422) = 1013914 / 1
LCM(187,5422) = 1013914
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FAQs on GCF of Fractions of 5970/187, 7710/5422
1. What is the HCF of 5970,7710?
The HCF of 5970,7710 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 5970/187, 7710/5422?
Answer: GCF of Numerators as per given numbers 5970/187, 7710/5422 is
GCF of Numerators i.e. for 5970,7710 is 30
LCM of denominators i.e. for 187,5422 is 1013914.
Thus, GCF of Fractions is 30/1013914.Finally, GCF of Fractions for 5970/187, 7710/5422 is 30/1013914.