GCF of 8770/256, 5970/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8770/256, 5970/674 i.e 10/86272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8770/256, 5970/674.
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 8770/256,5970/674?
Given fractions are 8770/256,5970/674
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 8770/256,5970/674, numerators are 8770,5970
Denominators are 256,674
The GCF of 8770,5970 is 10 .
LCM of 256,674 is 86272.
The greatest common factor of 8770/256,5970/674 = [GCF of 8770,5970]/[LCM of 256,674]= 10/86272
Therefore, the GCF of 8770/256,5970/674 is 10/86272.
To find the highest common factor of 8770,5970, we have to find the factors of both numbers and list the highest common factor.
The factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The HCF of 8770,5970 is 10.
Lets's calculate GCF of 8770,5970
| 2 | 8770, 5970 |
| 5 | 4385, 2985 |
| 877, 597 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8770,5970 By Matching Biggest Common Factor Method
Now, list down the factors of 8770
:1,2,5,10,877,1754,4385,8770
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 8770,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 8770,5970 is 10.
Lets's calculate LCM of 256,674
| 2 | 256, 674 |
| 128, 337 |
∴ So the LCM of the given numbers is 2 x 128 x 337 = 86272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/86272
Therefore, the GCF of Fractions 8770/256,5970/674 is 10/86272
Least Common Multiple of 256,674 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 256,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,674) x common factors =2 x 1 = 2
LCM(256,674) = ( 256 × 674 ) / 2
LCM(256,674) = 172544 / 2
LCM(256,674) = 86272
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FAQs on GCF of Fractions of 8770/256, 5970/674
1. What is the HCF of 8770,5970?
The HCF of 8770,5970 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 8770/256, 5970/674?
Answer: GCF of Numerators as per given numbers 8770/256, 5970/674 is
GCF of Numerators i.e. for 8770,5970 is 10
LCM of denominators i.e. for 256,674 is 86272.
Thus, GCF of Fractions is 10/86272.Finally, GCF of Fractions for 8770/256, 5970/674 is 10/86272.