Highest Common Factor of 5417, 9498, 92455 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 5417, 9498, 92455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5417, 9498, 92455 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 5417, 9498, 92455 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 5417, 9498, 92455 is 1.
HCF(5417, 9498, 92455) = 1
HCF of 5417, 9498, 92455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5417, 9498, 92455 is 1.
Highest Common Factor of 5417,9498,92455 is 1
Step 1: Since 9498 > 5417, we apply the division lemma to 9498 and 5417, to get
9498 = 5417 x 1 + 4081
Step 2: Since the reminder 5417 ≠ 0, we apply division lemma to 4081 and 5417, to get
5417 = 4081 x 1 + 1336
Step 3: We consider the new divisor 4081 and the new remainder 1336, and apply the division lemma to get
4081 = 1336 x 3 + 73
We consider the new divisor 1336 and the new remainder 73,and apply the division lemma to get
1336 = 73 x 18 + 22
We consider the new divisor 73 and the new remainder 22,and apply the division lemma to get
73 = 22 x 3 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5417 and 9498 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(73,22) = HCF(1336,73) = HCF(4081,1336) = HCF(5417,4081) = HCF(9498,5417) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92455 > 1, we apply the division lemma to 92455 and 1, to get
92455 = 1 x 92455 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92455 is 1
Notice that 1 = HCF(92455,1) .
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Frequently Asked Questions on HCF of 5417, 9498, 92455 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 5417, 9498, 92455?
Answer: HCF of 5417, 9498, 92455 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5417, 9498, 92455 using Euclid's Algorithm?
Answer: For arbitrary numbers 5417, 9498, 92455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.