Highest Common Factor of 7217, 5150, 53849 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 7217, 5150, 53849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7217, 5150, 53849 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 7217, 5150, 53849 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 7217, 5150, 53849 is 1.
HCF(7217, 5150, 53849) = 1
HCF of 7217, 5150, 53849 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7217, 5150, 53849 is 1.
Highest Common Factor of 7217,5150,53849 is 1
Step 1: Since 7217 > 5150, we apply the division lemma to 7217 and 5150, to get
7217 = 5150 x 1 + 2067
Step 2: Since the reminder 5150 ≠ 0, we apply division lemma to 2067 and 5150, to get
5150 = 2067 x 2 + 1016
Step 3: We consider the new divisor 2067 and the new remainder 1016, and apply the division lemma to get
2067 = 1016 x 2 + 35
We consider the new divisor 1016 and the new remainder 35,and apply the division lemma to get
1016 = 35 x 29 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7217 and 5150 is 1
Notice that 1 = HCF(35,1) = HCF(1016,35) = HCF(2067,1016) = HCF(5150,2067) = HCF(7217,5150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53849 > 1, we apply the division lemma to 53849 and 1, to get
53849 = 1 x 53849 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53849 is 1
Notice that 1 = HCF(53849,1) .
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Frequently Asked Questions on HCF of 7217, 5150, 53849 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 7217, 5150, 53849?
Answer: HCF of 7217, 5150, 53849 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7217, 5150, 53849 using Euclid's Algorithm?
Answer: For arbitrary numbers 7217, 5150, 53849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
