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 5617, 856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5617, 856 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 5617, 856 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 5617, 856 is 1.
HCF(5617, 856) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5617, 856 is 1.
Step 1: Since 5617 > 856, we apply the division lemma to 5617 and 856, to get
5617 = 856 x 6 + 481
Step 2: Since the reminder 856 ≠ 0, we apply division lemma to 481 and 856, to get
856 = 481 x 1 + 375
Step 3: We consider the new divisor 481 and the new remainder 375, and apply the division lemma to get
481 = 375 x 1 + 106
We consider the new divisor 375 and the new remainder 106,and apply the division lemma to get
375 = 106 x 3 + 57
We consider the new divisor 106 and the new remainder 57,and apply the division lemma to get
106 = 57 x 1 + 49
We consider the new divisor 57 and the new remainder 49,and apply the division lemma to get
57 = 49 x 1 + 8
We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get
49 = 8 x 6 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5617 and 856 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(57,49) = HCF(106,57) = HCF(375,106) = HCF(481,375) = HCF(856,481) = HCF(5617,856) .
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 5617, 856?
Answer: HCF of 5617, 856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5617, 856 using Euclid's Algorithm?
Answer: For arbitrary numbers 5617, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.