Highest Common Factor of 929, 66200 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, 66200 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 66200 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, 66200 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, 66200 is 1.
HCF(929, 66200) = 1
HCF of 929, 66200 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, 66200 is 1.
Highest Common Factor of 929,66200 is 1
Step 1: Since 66200 > 929, we apply the division lemma to 66200 and 929, to get
66200 = 929 x 71 + 241
Step 2: Since the reminder 929 ≠ 0, we apply division lemma to 241 and 929, to get
929 = 241 x 3 + 206
Step 3: We consider the new divisor 241 and the new remainder 206, and apply the division lemma to get
241 = 206 x 1 + 35
We consider the new divisor 206 and the new remainder 35,and apply the division lemma to get
206 = 35 x 5 + 31
We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get
35 = 31 x 1 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 66200 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(206,35) = HCF(241,206) = HCF(929,241) = HCF(66200,929) .
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Frequently Asked Questions on HCF of 929, 66200 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, 66200?
Answer: HCF of 929, 66200 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 66200 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 66200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
