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 8156, 693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8156, 693 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 8156, 693 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 8156, 693 is 1.
HCF(8156, 693) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8156, 693 is 1.
Step 1: Since 8156 > 693, we apply the division lemma to 8156 and 693, to get
8156 = 693 x 11 + 533
Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 533 and 693, to get
693 = 533 x 1 + 160
Step 3: We consider the new divisor 533 and the new remainder 160, and apply the division lemma to get
533 = 160 x 3 + 53
We consider the new divisor 160 and the new remainder 53,and apply the division lemma to get
160 = 53 x 3 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8156 and 693 is 1
Notice that 1 = HCF(53,1) = HCF(160,53) = HCF(533,160) = HCF(693,533) = HCF(8156,693) .
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 8156, 693?
Answer: HCF of 8156, 693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8156, 693 using Euclid's Algorithm?
Answer: For arbitrary numbers 8156, 693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.