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 604, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 941 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 604, 941 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 604, 941 is 1.
HCF(604, 941) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 941 is 1.
Step 1: Since 941 > 604, we apply the division lemma to 941 and 604, to get
941 = 604 x 1 + 337
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 337 and 604, to get
604 = 337 x 1 + 267
Step 3: We consider the new divisor 337 and the new remainder 267, and apply the division lemma to get
337 = 267 x 1 + 70
We consider the new divisor 267 and the new remainder 70,and apply the division lemma to get
267 = 70 x 3 + 57
We consider the new divisor 70 and the new remainder 57,and apply the division lemma to get
70 = 57 x 1 + 13
We consider the new divisor 57 and the new remainder 13,and apply the division lemma to get
57 = 13 x 4 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
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 604 and 941 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(57,13) = HCF(70,57) = HCF(267,70) = HCF(337,267) = HCF(604,337) = HCF(941,604) .
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 604, 941?
Answer: HCF of 604, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 941 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.