Highest Common Factor of 9426, 1594 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 9426, 1594 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9426, 1594 is 2 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 9426, 1594 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 9426, 1594 is 2.
HCF(9426, 1594) = 2
HCF of 9426, 1594 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9426, 1594 is 2.
Highest Common Factor of 9426,1594 is 2
Step 1: Since 9426 > 1594, we apply the division lemma to 9426 and 1594, to get
9426 = 1594 x 5 + 1456
Step 2: Since the reminder 1594 ≠ 0, we apply division lemma to 1456 and 1594, to get
1594 = 1456 x 1 + 138
Step 3: We consider the new divisor 1456 and the new remainder 138, and apply the division lemma to get
1456 = 138 x 10 + 76
We consider the new divisor 138 and the new remainder 76,and apply the division lemma to get
138 = 76 x 1 + 62
We consider the new divisor 76 and the new remainder 62,and apply the division lemma to get
76 = 62 x 1 + 14
We consider the new divisor 62 and the new remainder 14,and apply the division lemma to get
62 = 14 x 4 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9426 and 1594 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(62,14) = HCF(76,62) = HCF(138,76) = HCF(1456,138) = HCF(1594,1456) = HCF(9426,1594) .
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Frequently Asked Questions on HCF of 9426, 1594 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 9426, 1594?
Answer: HCF of 9426, 1594 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9426, 1594 using Euclid's Algorithm?
Answer: For arbitrary numbers 9426, 1594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.