Highest Common Factor of 935, 7197 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 935, 7197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 935, 7197 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 935, 7197 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 935, 7197 is 1.
HCF(935, 7197) = 1
HCF of 935, 7197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 935, 7197 is 1.
Highest Common Factor of 935,7197 is 1
Step 1: Since 7197 > 935, we apply the division lemma to 7197 and 935, to get
7197 = 935 x 7 + 652
Step 2: Since the reminder 935 ≠ 0, we apply division lemma to 652 and 935, to get
935 = 652 x 1 + 283
Step 3: We consider the new divisor 652 and the new remainder 283, and apply the division lemma to get
652 = 283 x 2 + 86
We consider the new divisor 283 and the new remainder 86,and apply the division lemma to get
283 = 86 x 3 + 25
We consider the new divisor 86 and the new remainder 25,and apply the division lemma to get
86 = 25 x 3 + 11
We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get
25 = 11 x 2 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 935 and 7197 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(86,25) = HCF(283,86) = HCF(652,283) = HCF(935,652) = HCF(7197,935) .
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Frequently Asked Questions on HCF of 935, 7197 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 935, 7197?
Answer: HCF of 935, 7197 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 935, 7197 using Euclid's Algorithm?
Answer: For arbitrary numbers 935, 7197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
