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 929, 9721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 9721 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 929, 9721 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 929, 9721 is 1.
HCF(929, 9721) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 9721 is 1.
Step 1: Since 9721 > 929, we apply the division lemma to 9721 and 929, to get
9721 = 929 x 10 + 431
Step 2: Since the reminder 929 ≠ 0, we apply division lemma to 431 and 929, to get
929 = 431 x 2 + 67
Step 3: We consider the new divisor 431 and the new remainder 67, and apply the division lemma to get
431 = 67 x 6 + 29
We consider the new divisor 67 and the new remainder 29,and apply the division lemma to get
67 = 29 x 2 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 929 and 9721 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(67,29) = HCF(431,67) = HCF(929,431) = HCF(9721,929) .
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 929, 9721?
Answer: HCF of 929, 9721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 9721 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 9721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.