GCF of 148/916, 808/719, 259/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 148/916, 808/719, 259/624 i.e 1/102742224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/916, 808/719, 259/624.
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 148/916,808/719,259/624?
Given fractions are 148/916,808/719,259/624
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 148/916,808/719,259/624, numerators are 148,808,259
Denominators are 916,719,624
The GCF of 148,808,259 is 1 .
LCM of 916,719,624 is 102742224.
The greatest common factor of 148/916,808/719,259/624 = [GCF of 148,808,259]/[LCM of 916,719,624]= 1/102742224
Therefore, the GCF of 148/916,808/719,259/624 is 1/102742224.
To find the highest common factor of 148,808,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 148 are 1, 2, 4, 37, 74, 148
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 259 are 1, 7, 37, 259
The HCF of 148,808,259 is 1.
Lets's calculate GCF of 148,808,259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 148,808,259 By Matching Biggest Common Factor Method
Now, list down the factors of 148
:1,2,4,37,74,148
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 148,808,259 . The biggest common factor number is the GCF number.
So the greatest common factor 148,808,259 is 1.
Lets's calculate LCM of 916,719,624
| 2 | 916, 719, 624 |
| 2 | 458, 719, 312 |
| 229, 719, 156 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 719 x 156 = 102742224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102742224
Therefore, the GCF of Fractions 148/916,808/719,259/624 is 1/102742224
Least Common Multiple of 916,719,624 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 916,719,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,719,624) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(916,719,624) x common factors =1 x 4 = 4
LCM(916,719,624) = ( 916 × 719 × 624 ) / 4
LCM(916,719,624) = 410968896 / 4
LCM(916,719,624) = 102742224
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FAQs on GCF of Fractions of 148/916, 808/719, 259/624
1. What is the HCF of 148,808,259?
The HCF of 148,808,259 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 148/916, 808/719, 259/624?
Answer: GCF of Numerators as per given numbers 148/916, 808/719, 259/624 is
GCF of Numerators i.e. for 148,808,259 is 1
LCM of denominators i.e. for 916,719,624 is 102742224.
Thus, GCF of Fractions is 1/102742224.Finally, GCF of Fractions for 148/916, 808/719, 259/624 is 1/102742224.