Highest Common Factor of 970, 703 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 970, 703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 970, 703 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 970, 703 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 970, 703 is 1.
HCF(970, 703) = 1
HCF of 970, 703 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 970, 703 is 1.
Highest Common Factor of 970,703 is 1
Step 1: Since 970 > 703, we apply the division lemma to 970 and 703, to get
970 = 703 x 1 + 267
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 267 and 703, to get
703 = 267 x 2 + 169
Step 3: We consider the new divisor 267 and the new remainder 169, and apply the division lemma to get
267 = 169 x 1 + 98
We consider the new divisor 169 and the new remainder 98,and apply the division lemma to get
169 = 98 x 1 + 71
We consider the new divisor 98 and the new remainder 71,and apply the division lemma to get
98 = 71 x 1 + 27
We consider the new divisor 71 and the new remainder 27,and apply the division lemma to get
71 = 27 x 2 + 17
We consider the new divisor 27 and the new remainder 17,and apply the division lemma to get
27 = 17 x 1 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 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 970 and 703 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(27,17) = HCF(71,27) = HCF(98,71) = HCF(169,98) = HCF(267,169) = HCF(703,267) = HCF(970,703) .
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Frequently Asked Questions on HCF of 970, 703 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 970, 703?
Answer: HCF of 970, 703 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 970, 703 using Euclid's Algorithm?
Answer: For arbitrary numbers 970, 703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.