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 944, 2605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 944, 2605 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 944, 2605 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 944, 2605 is 1.
HCF(944, 2605) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 944, 2605 is 1.
Step 1: Since 2605 > 944, we apply the division lemma to 2605 and 944, to get
2605 = 944 x 2 + 717
Step 2: Since the reminder 944 ≠ 0, we apply division lemma to 717 and 944, to get
944 = 717 x 1 + 227
Step 3: We consider the new divisor 717 and the new remainder 227, and apply the division lemma to get
717 = 227 x 3 + 36
We consider the new divisor 227 and the new remainder 36,and apply the division lemma to get
227 = 36 x 6 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 944 and 2605 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(227,36) = HCF(717,227) = HCF(944,717) = HCF(2605,944) .
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 944, 2605?
Answer: HCF of 944, 2605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 944, 2605 using Euclid's Algorithm?
Answer: For arbitrary numbers 944, 2605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.