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 928, 50617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 50617 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 928, 50617 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 928, 50617 is 1.
HCF(928, 50617) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 928, 50617 is 1.
Step 1: Since 50617 > 928, we apply the division lemma to 50617 and 928, to get
50617 = 928 x 54 + 505
Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 505 and 928, to get
928 = 505 x 1 + 423
Step 3: We consider the new divisor 505 and the new remainder 423, and apply the division lemma to get
505 = 423 x 1 + 82
We consider the new divisor 423 and the new remainder 82,and apply the division lemma to get
423 = 82 x 5 + 13
We consider the new divisor 82 and the new remainder 13,and apply the division lemma to get
82 = 13 x 6 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 928 and 50617 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(423,82) = HCF(505,423) = HCF(928,505) = HCF(50617,928) .
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 928, 50617?
Answer: HCF of 928, 50617 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 50617 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 50617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.