GCF of 488/175, 3670/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/175, 3670/757 i.e 2/132475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/175, 3670/757.
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 488/175,3670/757?
Given fractions are 488/175,3670/757
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 488/175,3670/757, numerators are 488,3670
Denominators are 175,757
The GCF of 488,3670 is 2 .
LCM of 175,757 is 132475.
The greatest common factor of 488/175,3670/757 = [GCF of 488,3670]/[LCM of 175,757]= 2/132475
Therefore, the GCF of 488/175,3670/757 is 2/132475.
To find the highest common factor of 488,3670, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670
The HCF of 488,3670 is 2.
Lets's calculate GCF of 488,3670
| 2 | 488, 3670 |
| 244, 1835 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 488,3670 By Matching Biggest Common Factor Method
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 3670
:1,2,5,10,367,734,1835,3670
Greatest Common Factor
We found the factors 488,3670 . The biggest common factor number is the GCF number.
So the greatest common factor 488,3670 is 2.
Lets's calculate LCM of 175,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 132475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132475
Therefore, the GCF of Fractions 488/175,3670/757 is 2/132475
Least Common Multiple of 175,757 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 175,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,757) x common factors =1 x 1 = 1
LCM(175,757) = ( 175 × 757 ) / 1
LCM(175,757) = 132475 / 1
LCM(175,757) = 132475
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FAQs on GCF of Fractions of 488/175, 3670/757
1. What is the HCF of 488,3670?
The HCF of 488,3670 is 2
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 488/175, 3670/757?
Answer: GCF of Numerators as per given numbers 488/175, 3670/757 is
GCF of Numerators i.e. for 488,3670 is 2
LCM of denominators i.e. for 175,757 is 132475.
Thus, GCF of Fractions is 2/132475.Finally, GCF of Fractions for 488/175, 3670/757 is 2/132475.