Highest Common Factor of 9390, 1597 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 9390, 1597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9390, 1597 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 9390, 1597 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 9390, 1597 is 1.
HCF(9390, 1597) = 1
HCF of 9390, 1597 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9390, 1597 is 1.
Highest Common Factor of 9390,1597 is 1
Step 1: Since 9390 > 1597, we apply the division lemma to 9390 and 1597, to get
9390 = 1597 x 5 + 1405
Step 2: Since the reminder 1597 ≠ 0, we apply division lemma to 1405 and 1597, to get
1597 = 1405 x 1 + 192
Step 3: We consider the new divisor 1405 and the new remainder 192, and apply the division lemma to get
1405 = 192 x 7 + 61
We consider the new divisor 192 and the new remainder 61,and apply the division lemma to get
192 = 61 x 3 + 9
We consider the new divisor 61 and the new remainder 9,and apply the division lemma to get
61 = 9 x 6 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9390 and 1597 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(61,9) = HCF(192,61) = HCF(1405,192) = HCF(1597,1405) = HCF(9390,1597) .
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Frequently Asked Questions on HCF of 9390, 1597 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 9390, 1597?
Answer: HCF of 9390, 1597 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9390, 1597 using Euclid's Algorithm?
Answer: For arbitrary numbers 9390, 1597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.