GCF of 137/156, 597/691, 358/847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 137/156, 597/691, 358/847 i.e 1/91303212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/156, 597/691, 358/847.
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 137/156,597/691,358/847?
Given fractions are 137/156,597/691,358/847
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 137/156,597/691,358/847, numerators are 137,597,358
Denominators are 156,691,847
The GCF of 137,597,358 is 1 .
LCM of 156,691,847 is 91303212.
The greatest common factor of 137/156,597/691,358/847 = [GCF of 137,597,358]/[LCM of 156,691,847]= 1/91303212
Therefore, the GCF of 137/156,597/691,358/847 is 1/91303212.
To find the highest common factor of 137,597,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 137 are 1, 137
The factors of 597 are 1, 3, 199, 597
The factors of 358 are 1, 2, 179, 358
The HCF of 137,597,358 is 1.
Lets's calculate GCF of 137,597,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 137,597,358 By Matching Biggest Common Factor Method
Now, list down the factors of 137
:1,137
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 137,597,358 . The biggest common factor number is the GCF number.
So the greatest common factor 137,597,358 is 1.
Lets's calculate LCM of 156,691,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 91303212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91303212
Therefore, the GCF of Fractions 137/156,597/691,358/847 is 1/91303212
Least Common Multiple of 156,691,847 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 156,691,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,691,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,691,847) x common factors =1 x 1 = 1
LCM(156,691,847) = ( 156 × 691 × 847 ) / 1
LCM(156,691,847) = 91303212 / 1
LCM(156,691,847) = 91303212
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FAQs on GCF of Fractions of 137/156, 597/691, 358/847
1. What is the HCF of 137,597,358?
The HCF of 137,597,358 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 137/156, 597/691, 358/847?
Answer: GCF of Numerators as per given numbers 137/156, 597/691, 358/847 is
GCF of Numerators i.e. for 137,597,358 is 1
LCM of denominators i.e. for 156,691,847 is 91303212.
Thus, GCF of Fractions is 1/91303212.Finally, GCF of Fractions for 137/156, 597/691, 358/847 is 1/91303212.