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 605, 928, 246 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 605, 928, 246 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 605, 928, 246 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 605, 928, 246 is 1.
HCF(605, 928, 246) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 605, 928, 246 is 1.
Step 1: Since 928 > 605, we apply the division lemma to 928 and 605, to get
928 = 605 x 1 + 323
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 323 and 605, to get
605 = 323 x 1 + 282
Step 3: We consider the new divisor 323 and the new remainder 282, and apply the division lemma to get
323 = 282 x 1 + 41
We consider the new divisor 282 and the new remainder 41,and apply the division lemma to get
282 = 41 x 6 + 36
We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get
41 = 36 x 1 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 605 and 928 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(282,41) = HCF(323,282) = HCF(605,323) = HCF(928,605) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 246 > 1, we apply the division lemma to 246 and 1, to get
246 = 1 x 246 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 246 is 1
Notice that 1 = HCF(246,1) .
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 605, 928, 246?
Answer: HCF of 605, 928, 246 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 605, 928, 246 using Euclid's Algorithm?
Answer: For arbitrary numbers 605, 928, 246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.