Highest Common Factor of 9445, 6926 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 9445, 6926 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9445, 6926 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 9445, 6926 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 9445, 6926 is 1.
HCF(9445, 6926) = 1
HCF of 9445, 6926 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9445, 6926 is 1.
Highest Common Factor of 9445,6926 is 1
Step 1: Since 9445 > 6926, we apply the division lemma to 9445 and 6926, to get
9445 = 6926 x 1 + 2519
Step 2: Since the reminder 6926 ≠ 0, we apply division lemma to 2519 and 6926, to get
6926 = 2519 x 2 + 1888
Step 3: We consider the new divisor 2519 and the new remainder 1888, and apply the division lemma to get
2519 = 1888 x 1 + 631
We consider the new divisor 1888 and the new remainder 631,and apply the division lemma to get
1888 = 631 x 2 + 626
We consider the new divisor 631 and the new remainder 626,and apply the division lemma to get
631 = 626 x 1 + 5
We consider the new divisor 626 and the new remainder 5,and apply the division lemma to get
626 = 5 x 125 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9445 and 6926 is 1
Notice that 1 = HCF(5,1) = HCF(626,5) = HCF(631,626) = HCF(1888,631) = HCF(2519,1888) = HCF(6926,2519) = HCF(9445,6926) .
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Frequently Asked Questions on HCF of 9445, 6926 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 9445, 6926?
Answer: HCF of 9445, 6926 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9445, 6926 using Euclid's Algorithm?
Answer: For arbitrary numbers 9445, 6926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.