Highest Common Factor of 953, 702 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 953, 702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 702 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 953, 702 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 953, 702 is 1.
HCF(953, 702) = 1
HCF of 953, 702 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 702 is 1.
Highest Common Factor of 953,702 is 1
Step 1: Since 953 > 702, we apply the division lemma to 953 and 702, to get
953 = 702 x 1 + 251
Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 251 and 702, to get
702 = 251 x 2 + 200
Step 3: We consider the new divisor 251 and the new remainder 200, and apply the division lemma to get
251 = 200 x 1 + 51
We consider the new divisor 200 and the new remainder 51,and apply the division lemma to get
200 = 51 x 3 + 47
We consider the new divisor 51 and the new remainder 47,and apply the division lemma to get
51 = 47 x 1 + 4
We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get
47 = 4 x 11 + 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 953 and 702 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(51,47) = HCF(200,51) = HCF(251,200) = HCF(702,251) = HCF(953,702) .
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Frequently Asked Questions on HCF of 953, 702 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 953, 702?
Answer: HCF of 953, 702 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 702 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
