Highest Common Factor of 973, 699 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 973, 699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 699 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 973, 699 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 973, 699 is 1.
HCF(973, 699) = 1
HCF of 973, 699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 699 is 1.
Highest Common Factor of 973,699 is 1
Step 1: Since 973 > 699, we apply the division lemma to 973 and 699, to get
973 = 699 x 1 + 274
Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 274 and 699, to get
699 = 274 x 2 + 151
Step 3: We consider the new divisor 274 and the new remainder 151, and apply the division lemma to get
274 = 151 x 1 + 123
We consider the new divisor 151 and the new remainder 123,and apply the division lemma to get
151 = 123 x 1 + 28
We consider the new divisor 123 and the new remainder 28,and apply the division lemma to get
123 = 28 x 4 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 973 and 699 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(123,28) = HCF(151,123) = HCF(274,151) = HCF(699,274) = HCF(973,699) .
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Frequently Asked Questions on HCF of 973, 699 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 973, 699?
Answer: HCF of 973, 699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 699 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.