Highest Common Factor of 5211, 4915 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 5211, 4915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5211, 4915 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 5211, 4915 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 5211, 4915 is 1.
HCF(5211, 4915) = 1
HCF of 5211, 4915 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5211, 4915 is 1.
Highest Common Factor of 5211,4915 is 1
Step 1: Since 5211 > 4915, we apply the division lemma to 5211 and 4915, to get
5211 = 4915 x 1 + 296
Step 2: Since the reminder 4915 ≠ 0, we apply division lemma to 296 and 4915, to get
4915 = 296 x 16 + 179
Step 3: We consider the new divisor 296 and the new remainder 179, and apply the division lemma to get
296 = 179 x 1 + 117
We consider the new divisor 179 and the new remainder 117,and apply the division lemma to get
179 = 117 x 1 + 62
We consider the new divisor 117 and the new remainder 62,and apply the division lemma to get
117 = 62 x 1 + 55
We consider the new divisor 62 and the new remainder 55,and apply the division lemma to get
62 = 55 x 1 + 7
We consider the new divisor 55 and the new remainder 7,and apply the division lemma to get
55 = 7 x 7 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5211 and 4915 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(55,7) = HCF(62,55) = HCF(117,62) = HCF(179,117) = HCF(296,179) = HCF(4915,296) = HCF(5211,4915) .
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Frequently Asked Questions on HCF of 5211, 4915 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 5211, 4915?
Answer: HCF of 5211, 4915 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5211, 4915 using Euclid's Algorithm?
Answer: For arbitrary numbers 5211, 4915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.