GCF of 7072/604, 1428/918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7072/604, 1428/918 i.e 68/277236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7072/604, 1428/918.
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 7072/604,1428/918?
Given fractions are 7072/604,1428/918
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 7072/604,1428/918, numerators are 7072,1428
Denominators are 604,918
The GCF of 7072,1428 is 68 .
LCM of 604,918 is 277236.
The greatest common factor of 7072/604,1428/918 = [GCF of 7072,1428]/[LCM of 604,918]= 68/277236
Therefore, the GCF of 7072/604,1428/918 is 68/277236.
To find the highest common factor of 7072,1428, we have to find the factors of both numbers and list the highest common factor.
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428
The HCF of 7072,1428 is 68.
Lets's calculate GCF of 7072,1428
| 2 | 7072, 1428 |
| 2 | 3536, 714 |
| 17 | 1768, 357 |
| 104, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 7072,1428 By Matching Biggest Common Factor Method
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Now, list down the factors of 1428
:1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428
Greatest Common Factor
We found the factors 7072,1428 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,1428 is 68.
Lets's calculate LCM of 604,918
| 2 | 604, 918 |
| 302, 459 |
∴ So the LCM of the given numbers is 2 x 302 x 459 = 277236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/277236
Therefore, the GCF of Fractions 7072/604,1428/918 is 68/277236
Least Common Multiple of 604,918 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 604,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,918) x common factors =2 x 1 = 2
LCM(604,918) = ( 604 × 918 ) / 2
LCM(604,918) = 554472 / 2
LCM(604,918) = 277236
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FAQs on GCF of Fractions of 7072/604, 1428/918
1. What is the HCF of 7072,1428?
The HCF of 7072,1428 is 68
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 7072/604, 1428/918?
Answer: GCF of Numerators as per given numbers 7072/604, 1428/918 is
GCF of Numerators i.e. for 7072,1428 is 68
LCM of denominators i.e. for 604,918 is 277236.
Thus, GCF of Fractions is 68/277236.Finally, GCF of Fractions for 7072/604, 1428/918 is 68/277236.