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 832, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 832, 653 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 832, 653 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 832, 653 is 1.
HCF(832, 653) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 832, 653 is 1.
Step 1: Since 832 > 653, we apply the division lemma to 832 and 653, to get
832 = 653 x 1 + 179
Step 2: Since the reminder 653 ≠ 0, we apply division lemma to 179 and 653, to get
653 = 179 x 3 + 116
Step 3: We consider the new divisor 179 and the new remainder 116, and apply the division lemma to get
179 = 116 x 1 + 63
We consider the new divisor 116 and the new remainder 63,and apply the division lemma to get
116 = 63 x 1 + 53
We consider the new divisor 63 and the new remainder 53,and apply the division lemma to get
63 = 53 x 1 + 10
We consider the new divisor 53 and the new remainder 10,and apply the division lemma to get
53 = 10 x 5 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 832 and 653 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(53,10) = HCF(63,53) = HCF(116,63) = HCF(179,116) = HCF(653,179) = HCF(832,653) .
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 832, 653?
Answer: HCF of 832, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 832, 653 using Euclid's Algorithm?
Answer: For arbitrary numbers 832, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.