Highest Common Factor of 929, 3021 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, 3021 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 3021 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, 3021 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, 3021 is 1.
HCF(929, 3021) = 1
HCF of 929, 3021 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, 3021 is 1.
Highest Common Factor of 929,3021 is 1
Step 1: Since 3021 > 929, we apply the division lemma to 3021 and 929, to get
3021 = 929 x 3 + 234
Step 2: Since the reminder 929 ≠ 0, we apply division lemma to 234 and 929, to get
929 = 234 x 3 + 227
Step 3: We consider the new divisor 234 and the new remainder 227, and apply the division lemma to get
234 = 227 x 1 + 7
We consider the new divisor 227 and the new remainder 7,and apply the division lemma to get
227 = 7 x 32 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 929 and 3021 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(227,7) = HCF(234,227) = HCF(929,234) = HCF(3021,929) .
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Frequently Asked Questions on HCF of 929, 3021 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, 3021?
Answer: HCF of 929, 3021 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 3021 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 3021 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.