GCF of 676/465, 102/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 676/465, 102/102 i.e 2/15810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 676/465, 102/102.
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 676/465,102/102?
Given fractions are 676/465,102/102
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 676/465,102/102, numerators are 676,102
Denominators are 465,102
The GCF of 676,102 is 2 .
LCM of 465,102 is 15810.
The greatest common factor of 676/465,102/102 = [GCF of 676,102]/[LCM of 465,102]= 2/15810
Therefore, the GCF of 676/465,102/102 is 2/15810.
To find the highest common factor of 676,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 676,102 is 2.
Lets's calculate GCF of 676,102
| 2 | 676, 102 |
| 338, 51 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 676,102 By Matching Biggest Common Factor Method
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 676,102 . The biggest common factor number is the GCF number.
So the greatest common factor 676,102 is 2.
Lets's calculate LCM of 465,102
| 3 | 465, 102 |
| 155, 34 |
∴ So the LCM of the given numbers is 3 x 155 x 34 = 15810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15810
Therefore, the GCF of Fractions 676/465,102/102 is 2/15810
Least Common Multiple of 465,102 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 465,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,102) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,102) x common factors =3 x 1 = 3
LCM(465,102) = ( 465 × 102 ) / 3
LCM(465,102) = 47430 / 3
LCM(465,102) = 15810
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FAQs on GCF of Fractions of 676/465, 102/102
1. What is the HCF of 676,102?
The HCF of 676,102 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 676/465, 102/102?
Answer: GCF of Numerators as per given numbers 676/465, 102/102 is
GCF of Numerators i.e. for 676,102 is 2
LCM of denominators i.e. for 465,102 is 15810.
Thus, GCF of Fractions is 2/15810.Finally, GCF of Fractions for 676/465, 102/102 is 2/15810.