Highest Common Factor of 929, 721 using Euclid's algorithm
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, 721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 721 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, 721 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, 721 is 1.
HCF(929, 721) = 1
HCF of 929, 721 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 721 is 1.
Highest Common Factor of 929,721 is 1
Step 1: Since 929 > 721, we apply the division lemma to 929 and 721, to get
929 = 721 x 1 + 208
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 208 and 721, to get
721 = 208 x 3 + 97
Step 3: We consider the new divisor 208 and the new remainder 97, and apply the division lemma to get
208 = 97 x 2 + 14
We consider the new divisor 97 and the new remainder 14,and apply the division lemma to get
97 = 14 x 6 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 721 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(97,14) = HCF(208,97) = HCF(721,208) = HCF(929,721) .
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Frequently Asked Questions on HCF of 929, 721 using Euclid's Algorithm
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, 721?
Answer: HCF of 929, 721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 721 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.