Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8784, 6783 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8784, 6783 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8784, 6783 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8784, 6783 is 3.
HCF(8784, 6783) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8784, 6783 is 3.
Step 1: Since 8784 > 6783, we apply the division lemma to 8784 and 6783, to get
8784 = 6783 x 1 + 2001
Step 2: Since the reminder 6783 ≠ 0, we apply division lemma to 2001 and 6783, to get
6783 = 2001 x 3 + 780
Step 3: We consider the new divisor 2001 and the new remainder 780, and apply the division lemma to get
2001 = 780 x 2 + 441
We consider the new divisor 780 and the new remainder 441,and apply the division lemma to get
780 = 441 x 1 + 339
We consider the new divisor 441 and the new remainder 339,and apply the division lemma to get
441 = 339 x 1 + 102
We consider the new divisor 339 and the new remainder 102,and apply the division lemma to get
339 = 102 x 3 + 33
We consider the new divisor 102 and the new remainder 33,and apply the division lemma to get
102 = 33 x 3 + 3
We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8784 and 6783 is 3
Notice that 3 = HCF(33,3) = HCF(102,33) = HCF(339,102) = HCF(441,339) = HCF(780,441) = HCF(2001,780) = HCF(6783,2001) = HCF(8784,6783) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8784, 6783?
Answer: HCF of 8784, 6783 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8784, 6783 using Euclid's Algorithm?
Answer: For arbitrary numbers 8784, 6783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.