Highest Common Factor of 9388, 6026, 93778 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 9388, 6026, 93778 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9388, 6026, 93778 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 9388, 6026, 93778 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 9388, 6026, 93778 is 2.
HCF(9388, 6026, 93778) = 2
HCF of 9388, 6026, 93778 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9388, 6026, 93778 is 2.
Highest Common Factor of 9388,6026,93778 is 2
Step 1: Since 9388 > 6026, we apply the division lemma to 9388 and 6026, to get
9388 = 6026 x 1 + 3362
Step 2: Since the reminder 6026 ≠ 0, we apply division lemma to 3362 and 6026, to get
6026 = 3362 x 1 + 2664
Step 3: We consider the new divisor 3362 and the new remainder 2664, and apply the division lemma to get
3362 = 2664 x 1 + 698
We consider the new divisor 2664 and the new remainder 698,and apply the division lemma to get
2664 = 698 x 3 + 570
We consider the new divisor 698 and the new remainder 570,and apply the division lemma to get
698 = 570 x 1 + 128
We consider the new divisor 570 and the new remainder 128,and apply the division lemma to get
570 = 128 x 4 + 58
We consider the new divisor 128 and the new remainder 58,and apply the division lemma to get
128 = 58 x 2 + 12
We consider the new divisor 58 and the new remainder 12,and apply the division lemma to get
58 = 12 x 4 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9388 and 6026 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(58,12) = HCF(128,58) = HCF(570,128) = HCF(698,570) = HCF(2664,698) = HCF(3362,2664) = HCF(6026,3362) = HCF(9388,6026) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93778 > 2, we apply the division lemma to 93778 and 2, to get
93778 = 2 x 46889 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 93778 is 2
Notice that 2 = HCF(93778,2) .
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Frequently Asked Questions on HCF of 9388, 6026, 93778 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 9388, 6026, 93778?
Answer: HCF of 9388, 6026, 93778 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9388, 6026, 93778 using Euclid's Algorithm?
Answer: For arbitrary numbers 9388, 6026, 93778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.