Highest Common Factor of 699, 957 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 699, 957 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 699, 957 is 3 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 699, 957 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 699, 957 is 3.
HCF(699, 957) = 3
HCF of 699, 957 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 699, 957 is 3.
Highest Common Factor of 699,957 is 3
Step 1: Since 957 > 699, we apply the division lemma to 957 and 699, to get
957 = 699 x 1 + 258
Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 258 and 699, to get
699 = 258 x 2 + 183
Step 3: We consider the new divisor 258 and the new remainder 183, and apply the division lemma to get
258 = 183 x 1 + 75
We consider the new divisor 183 and the new remainder 75,and apply the division lemma to get
183 = 75 x 2 + 33
We consider the new divisor 75 and the new remainder 33,and apply the division lemma to get
75 = 33 x 2 + 9
We consider the new divisor 33 and the new remainder 9,and apply the division lemma to get
33 = 9 x 3 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 699 and 957 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(33,9) = HCF(75,33) = HCF(183,75) = HCF(258,183) = HCF(699,258) = HCF(957,699) .
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Frequently Asked Questions on HCF of 699, 957 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 699, 957?
Answer: HCF of 699, 957 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 699, 957 using Euclid's Algorithm?
Answer: For arbitrary numbers 699, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.