GCF of 970/775, 7130/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 970/775, 7130/985 i.e 10/152675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/775, 7130/985.
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 970/775,7130/985?
Given fractions are 970/775,7130/985
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 970/775,7130/985, numerators are 970,7130
Denominators are 775,985
The GCF of 970,7130 is 10 .
LCM of 775,985 is 152675.
The greatest common factor of 970/775,7130/985 = [GCF of 970,7130]/[LCM of 775,985]= 10/152675
Therefore, the GCF of 970/775,7130/985 is 10/152675.
To find the highest common factor of 970,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 970,7130 is 10.
Lets's calculate GCF of 970,7130
| 2 | 970, 7130 |
| 5 | 485, 3565 |
| 97, 713 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 970,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 970,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 970,7130 is 10.
Lets's calculate LCM of 775,985
| 5 | 775, 985 |
| 155, 197 |
∴ So the LCM of the given numbers is 5 x 155 x 197 = 152675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/152675
Therefore, the GCF of Fractions 970/775,7130/985 is 10/152675
Least Common Multiple of 775,985 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 775,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,985) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(775,985) x common factors =5 x 1 = 5
LCM(775,985) = ( 775 × 985 ) / 5
LCM(775,985) = 763375 / 5
LCM(775,985) = 152675
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FAQs on GCF of Fractions of 970/775, 7130/985
1. What is the HCF of 970,7130?
The HCF of 970,7130 is 10
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 970/775, 7130/985?
Answer: GCF of Numerators as per given numbers 970/775, 7130/985 is
GCF of Numerators i.e. for 970,7130 is 10
LCM of denominators i.e. for 775,985 is 152675.
Thus, GCF of Fractions is 10/152675.Finally, GCF of Fractions for 970/775, 7130/985 is 10/152675.