Highest Common Factor of 9358, 6445 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 9358, 6445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9358, 6445 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 9358, 6445 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 9358, 6445 is 1.
HCF(9358, 6445) = 1
HCF of 9358, 6445 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9358, 6445 is 1.
Highest Common Factor of 9358,6445 is 1
Step 1: Since 9358 > 6445, we apply the division lemma to 9358 and 6445, to get
9358 = 6445 x 1 + 2913
Step 2: Since the reminder 6445 ≠ 0, we apply division lemma to 2913 and 6445, to get
6445 = 2913 x 2 + 619
Step 3: We consider the new divisor 2913 and the new remainder 619, and apply the division lemma to get
2913 = 619 x 4 + 437
We consider the new divisor 619 and the new remainder 437,and apply the division lemma to get
619 = 437 x 1 + 182
We consider the new divisor 437 and the new remainder 182,and apply the division lemma to get
437 = 182 x 2 + 73
We consider the new divisor 182 and the new remainder 73,and apply the division lemma to get
182 = 73 x 2 + 36
We consider the new divisor 73 and the new remainder 36,and apply the division lemma to get
73 = 36 x 2 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9358 and 6445 is 1
Notice that 1 = HCF(36,1) = HCF(73,36) = HCF(182,73) = HCF(437,182) = HCF(619,437) = HCF(2913,619) = HCF(6445,2913) = HCF(9358,6445) .
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Frequently Asked Questions on HCF of 9358, 6445 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 9358, 6445?
Answer: HCF of 9358, 6445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9358, 6445 using Euclid's Algorithm?
Answer: For arbitrary numbers 9358, 6445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.