GCF of 1059/700, 7072/1596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1059/700, 7072/1596 i.e 1/39900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1059/700, 7072/1596.
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 1059/700,7072/1596?
Given fractions are 1059/700,7072/1596
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 1059/700,7072/1596, numerators are 1059,7072
Denominators are 700,1596
The GCF of 1059,7072 is 1 .
LCM of 700,1596 is 39900.
The greatest common factor of 1059/700,7072/1596 = [GCF of 1059,7072]/[LCM of 700,1596]= 1/39900
Therefore, the GCF of 1059/700,7072/1596 is 1/39900.
To find the highest common factor of 1059,7072, we have to find the factors of both numbers and list the highest common factor.
The factors of 1059 are 1, 3, 353, 1059
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 HCF of 1059,7072 is 1.
Lets's calculate GCF of 1059,7072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1059,7072 By Matching Biggest Common Factor Method
Now, list down the factors of 1059
:1,3,353,1059
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
Greatest Common Factor
We found the factors 1059,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 1059,7072 is 1.
Lets's calculate LCM of 700,1596
| 2 | 700, 1596 |
| 2 | 350, 798 |
| 7 | 175, 399 |
| 25, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 25 x 57 = 39900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39900
Therefore, the GCF of Fractions 1059/700,7072/1596 is 1/39900
Least Common Multiple of 700,1596 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 700,1596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,1596) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(700,1596) x common factors =28 x 1 = 28
LCM(700,1596) = ( 700 × 1596 ) / 28
LCM(700,1596) = 1117200 / 28
LCM(700,1596) = 39900
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FAQs on GCF of Fractions of 1059/700, 7072/1596
1. What is the HCF of 1059,7072?
The HCF of 1059,7072 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 1059/700, 7072/1596?
Answer: GCF of Numerators as per given numbers 1059/700, 7072/1596 is
GCF of Numerators i.e. for 1059,7072 is 1
LCM of denominators i.e. for 700,1596 is 39900.
Thus, GCF of Fractions is 1/39900.Finally, GCF of Fractions for 1059/700, 7072/1596 is 1/39900.