GCF of 918/78, 714/664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 918/78, 714/664 i.e 102/25896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/78, 714/664.
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 918/78,714/664?
Given fractions are 918/78,714/664
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 918/78,714/664, numerators are 918,714
Denominators are 78,664
The GCF of 918,714 is 102 .
LCM of 78,664 is 25896.
The greatest common factor of 918/78,714/664 = [GCF of 918,714]/[LCM of 78,664]= 102/25896
Therefore, the GCF of 918/78,714/664 is 102/25896.
To find the highest common factor of 918,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 918,714 is 102.
Lets's calculate GCF of 918,714
| 2 | 918, 714 |
| 3 | 459, 357 |
| 17 | 153, 119 |
| 9, 7 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Greatest Common Factor of 918,714 By Matching Biggest Common Factor Method
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 918,714 . The biggest common factor number is the GCF number.
So the greatest common factor 918,714 is 102.
Lets's calculate LCM of 78,664
| 2 | 78, 664 |
| 39, 332 |
∴ So the LCM of the given numbers is 2 x 39 x 332 = 25896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/25896
Therefore, the GCF of Fractions 918/78,714/664 is 102/25896
Least Common Multiple of 78,664 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 78,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,664) x common factors =2 x 1 = 2
LCM(78,664) = ( 78 × 664 ) / 2
LCM(78,664) = 51792 / 2
LCM(78,664) = 25896
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FAQs on GCF of Fractions of 918/78, 714/664
1. What is the HCF of 918,714?
The HCF of 918,714 is 102
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 918/78, 714/664?
Answer: GCF of Numerators as per given numbers 918/78, 714/664 is
GCF of Numerators i.e. for 918,714 is 102
LCM of denominators i.e. for 78,664 is 25896.
Thus, GCF of Fractions is 102/25896.Finally, GCF of Fractions for 918/78, 714/664 is 102/25896.