GCF of 98/752, 615/377, 671/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/752, 615/377, 671/482 i.e 1/68324464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/752, 615/377, 671/482.
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 98/752,615/377,671/482?
Given fractions are 98/752,615/377,671/482
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 98/752,615/377,671/482, numerators are 98,615,671
Denominators are 752,377,482
The GCF of 98,615,671 is 1 .
LCM of 752,377,482 is 68324464.
The greatest common factor of 98/752,615/377,671/482 = [GCF of 98,615,671]/[LCM of 752,377,482]= 1/68324464
Therefore, the GCF of 98/752,615/377,671/482 is 1/68324464.
To find the highest common factor of 98,615,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 671 are 1, 11, 61, 671
The HCF of 98,615,671 is 1.
Lets's calculate GCF of 98,615,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,615,671 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 98,615,671 . The biggest common factor number is the GCF number.
So the greatest common factor 98,615,671 is 1.
Lets's calculate LCM of 752,377,482
| 2 | 752, 377, 482 |
| 376, 377, 241 |
∴ So the LCM of the given numbers is 2 x 376 x 377 x 241 = 68324464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68324464
Therefore, the GCF of Fractions 98/752,615/377,671/482 is 1/68324464
Least Common Multiple of 752,377,482 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 752,377,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,377,482) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(752,377,482) x common factors =1 x 2 = 2
LCM(752,377,482) = ( 752 × 377 × 482 ) / 2
LCM(752,377,482) = 136648928 / 2
LCM(752,377,482) = 68324464
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FAQs on GCF of Fractions of 98/752, 615/377, 671/482
1. What is the HCF of 98,615,671?
The HCF of 98,615,671 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 98/752, 615/377, 671/482?
Answer: GCF of Numerators as per given numbers 98/752, 615/377, 671/482 is
GCF of Numerators i.e. for 98,615,671 is 1
LCM of denominators i.e. for 752,377,482 is 68324464.
Thus, GCF of Fractions is 1/68324464.Finally, GCF of Fractions for 98/752, 615/377, 671/482 is 1/68324464.