Highest Common Factor of 9266, 5418, 17400 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 9266, 5418, 17400 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9266, 5418, 17400 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 9266, 5418, 17400 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 9266, 5418, 17400 is 2.
HCF(9266, 5418, 17400) = 2
HCF of 9266, 5418, 17400 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9266, 5418, 17400 is 2.
Highest Common Factor of 9266,5418,17400 is 2
Step 1: Since 9266 > 5418, we apply the division lemma to 9266 and 5418, to get
9266 = 5418 x 1 + 3848
Step 2: Since the reminder 5418 ≠ 0, we apply division lemma to 3848 and 5418, to get
5418 = 3848 x 1 + 1570
Step 3: We consider the new divisor 3848 and the new remainder 1570, and apply the division lemma to get
3848 = 1570 x 2 + 708
We consider the new divisor 1570 and the new remainder 708,and apply the division lemma to get
1570 = 708 x 2 + 154
We consider the new divisor 708 and the new remainder 154,and apply the division lemma to get
708 = 154 x 4 + 92
We consider the new divisor 154 and the new remainder 92,and apply the division lemma to get
154 = 92 x 1 + 62
We consider the new divisor 92 and the new remainder 62,and apply the division lemma to get
92 = 62 x 1 + 30
We consider the new divisor 62 and the new remainder 30,and apply the division lemma to get
62 = 30 x 2 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9266 and 5418 is 2
Notice that 2 = HCF(30,2) = HCF(62,30) = HCF(92,62) = HCF(154,92) = HCF(708,154) = HCF(1570,708) = HCF(3848,1570) = HCF(5418,3848) = HCF(9266,5418) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17400 > 2, we apply the division lemma to 17400 and 2, to get
17400 = 2 x 8700 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 17400 is 2
Notice that 2 = HCF(17400,2) .
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Frequently Asked Questions on HCF of 9266, 5418, 17400 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 9266, 5418, 17400?
Answer: HCF of 9266, 5418, 17400 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9266, 5418, 17400 using Euclid's Algorithm?
Answer: For arbitrary numbers 9266, 5418, 17400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.