GCF of 1789/762, 7896/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1789/762, 7896/7130 i.e 1/2716530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1789/762, 7896/7130.
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 1789/762,7896/7130?
Given fractions are 1789/762,7896/7130
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 1789/762,7896/7130, numerators are 1789,7896
Denominators are 762,7130
The GCF of 1789,7896 is 1 .
LCM of 762,7130 is 2716530.
The greatest common factor of 1789/762,7896/7130 = [GCF of 1789,7896]/[LCM of 762,7130]= 1/2716530
Therefore, the GCF of 1789/762,7896/7130 is 1/2716530.
To find the highest common factor of 1789,7896, we have to find the factors of both numbers and list the highest common factor.
The factors of 1789 are 1, 1789
The factors of 7896 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896
The HCF of 1789,7896 is 1.
Lets's calculate GCF of 1789,7896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1789,7896 By Matching Biggest Common Factor Method
Now, list down the factors of 1789
:1,1789
Now, list down the factors of 7896
:1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896
Greatest Common Factor
We found the factors 1789,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 1789,7896 is 1.
Lets's calculate LCM of 762,7130
| 2 | 762, 7130 |
| 381, 3565 |
∴ So the LCM of the given numbers is 2 x 381 x 3565 = 2716530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2716530
Therefore, the GCF of Fractions 1789/762,7896/7130 is 1/2716530
Least Common Multiple of 762,7130 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 762,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,7130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,7130) x common factors =2 x 1 = 2
LCM(762,7130) = ( 762 × 7130 ) / 2
LCM(762,7130) = 5433060 / 2
LCM(762,7130) = 2716530
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FAQs on GCF of Fractions of 1789/762, 7896/7130
1. What is the HCF of 1789,7896?
The HCF of 1789,7896 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 1789/762, 7896/7130?
Answer: GCF of Numerators as per given numbers 1789/762, 7896/7130 is
GCF of Numerators i.e. for 1789,7896 is 1
LCM of denominators i.e. for 762,7130 is 2716530.
Thus, GCF of Fractions is 1/2716530.Finally, GCF of Fractions for 1789/762, 7896/7130 is 1/2716530.