Highest Common Factor of 8717, 4995, 90550 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 8717, 4995, 90550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8717, 4995, 90550 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 8717, 4995, 90550 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 8717, 4995, 90550 is 1.
HCF(8717, 4995, 90550) = 1
HCF of 8717, 4995, 90550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8717, 4995, 90550 is 1.
Highest Common Factor of 8717,4995,90550 is 1
Step 1: Since 8717 > 4995, we apply the division lemma to 8717 and 4995, to get
8717 = 4995 x 1 + 3722
Step 2: Since the reminder 4995 ≠ 0, we apply division lemma to 3722 and 4995, to get
4995 = 3722 x 1 + 1273
Step 3: We consider the new divisor 3722 and the new remainder 1273, and apply the division lemma to get
3722 = 1273 x 2 + 1176
We consider the new divisor 1273 and the new remainder 1176,and apply the division lemma to get
1273 = 1176 x 1 + 97
We consider the new divisor 1176 and the new remainder 97,and apply the division lemma to get
1176 = 97 x 12 + 12
We consider the new divisor 97 and the new remainder 12,and apply the division lemma to get
97 = 12 x 8 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8717 and 4995 is 1
Notice that 1 = HCF(12,1) = HCF(97,12) = HCF(1176,97) = HCF(1273,1176) = HCF(3722,1273) = HCF(4995,3722) = HCF(8717,4995) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90550 > 1, we apply the division lemma to 90550 and 1, to get
90550 = 1 x 90550 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90550 is 1
Notice that 1 = HCF(90550,1) .
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Frequently Asked Questions on HCF of 8717, 4995, 90550 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 8717, 4995, 90550?
Answer: HCF of 8717, 4995, 90550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8717, 4995, 90550 using Euclid's Algorithm?
Answer: For arbitrary numbers 8717, 4995, 90550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.