Highest Common Factor of 784, 5080, 2859 using Euclid's algorithm
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 784, 5080, 2859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 784, 5080, 2859 is 1 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 784, 5080, 2859 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 784, 5080, 2859 is 1.
HCF(784, 5080, 2859) = 1
HCF of 784, 5080, 2859 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 784, 5080, 2859 is 1.
Highest Common Factor of 784,5080,2859 is 1
Step 1: Since 5080 > 784, we apply the division lemma to 5080 and 784, to get
5080 = 784 x 6 + 376
Step 2: Since the reminder 784 ≠ 0, we apply division lemma to 376 and 784, to get
784 = 376 x 2 + 32
Step 3: We consider the new divisor 376 and the new remainder 32, and apply the division lemma to get
376 = 32 x 11 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 784 and 5080 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(376,32) = HCF(784,376) = HCF(5080,784) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2859 > 8, we apply the division lemma to 2859 and 8, to get
2859 = 8 x 357 + 3
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get
8 = 3 x 2 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 2859 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(2859,8) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 784, 5080, 2859 using Euclid's Algorithm
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 784, 5080, 2859?
Answer: HCF of 784, 5080, 2859 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 784, 5080, 2859 using Euclid's Algorithm?
Answer: For arbitrary numbers 784, 5080, 2859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.