GCF of 7972/615, 3425/4635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7972/615, 3425/4635 i.e 1/190035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7972/615, 3425/4635.
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 7972/615,3425/4635?
Given fractions are 7972/615,3425/4635
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 7972/615,3425/4635, numerators are 7972,3425
Denominators are 615,4635
The GCF of 7972,3425 is 1 .
LCM of 615,4635 is 190035.
The greatest common factor of 7972/615,3425/4635 = [GCF of 7972,3425]/[LCM of 615,4635]= 1/190035
Therefore, the GCF of 7972/615,3425/4635 is 1/190035.
To find the highest common factor of 7972,3425, we have to find the factors of both numbers and list the highest common factor.
The factors of 7972 are 1, 2, 4, 1993, 3986, 7972
The factors of 3425 are 1, 5, 25, 137, 685, 3425
The HCF of 7972,3425 is 1.
Lets's calculate GCF of 7972,3425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7972,3425 By Matching Biggest Common Factor Method
Now, list down the factors of 7972
:1,2,4,1993,3986,7972
Now, list down the factors of 3425
:1,5,25,137,685,3425
Greatest Common Factor
We found the factors 7972,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 7972,3425 is 1.
Lets's calculate LCM of 615,4635
| 3 | 615, 4635 |
| 5 | 205, 1545 |
| 41, 309 |
∴ So the LCM of the given numbers is 3 x 5 x 41 x 309 = 190035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190035
Therefore, the GCF of Fractions 7972/615,3425/4635 is 1/190035
Least Common Multiple of 615,4635 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 615,4635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,4635) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(615,4635) x common factors =15 x 1 = 15
LCM(615,4635) = ( 615 × 4635 ) / 15
LCM(615,4635) = 2850525 / 15
LCM(615,4635) = 190035
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FAQs on GCF of Fractions of 7972/615, 3425/4635
1. What is the HCF of 7972,3425?
The HCF of 7972,3425 is 1
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 7972/615, 3425/4635?
Answer: GCF of Numerators as per given numbers 7972/615, 3425/4635 is
GCF of Numerators i.e. for 7972,3425 is 1
LCM of denominators i.e. for 615,4635 is 190035.
Thus, GCF of Fractions is 1/190035.Finally, GCF of Fractions for 7972/615, 3425/4635 is 1/190035.