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 652, 883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 652, 883 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 652, 883 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 652, 883 is 1.
HCF(652, 883) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 652, 883 is 1.
Step 1: Since 883 > 652, we apply the division lemma to 883 and 652, to get
883 = 652 x 1 + 231
Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 231 and 652, to get
652 = 231 x 2 + 190
Step 3: We consider the new divisor 231 and the new remainder 190, and apply the division lemma to get
231 = 190 x 1 + 41
We consider the new divisor 190 and the new remainder 41,and apply the division lemma to get
190 = 41 x 4 + 26
We consider the new divisor 41 and the new remainder 26,and apply the division lemma to get
41 = 26 x 1 + 15
We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get
26 = 15 x 1 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 652 and 883 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(41,26) = HCF(190,41) = HCF(231,190) = HCF(652,231) = HCF(883,652) .
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 652, 883?
Answer: HCF of 652, 883 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 652, 883 using Euclid's Algorithm?
Answer: For arbitrary numbers 652, 883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.