Highest Common Factor of 5151, 7214 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 5151, 7214 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5151, 7214 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 5151, 7214 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 5151, 7214 is 1.
HCF(5151, 7214) = 1
HCF of 5151, 7214 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5151, 7214 is 1.
Highest Common Factor of 5151,7214 is 1
Step 1: Since 7214 > 5151, we apply the division lemma to 7214 and 5151, to get
7214 = 5151 x 1 + 2063
Step 2: Since the reminder 5151 ≠ 0, we apply division lemma to 2063 and 5151, to get
5151 = 2063 x 2 + 1025
Step 3: We consider the new divisor 2063 and the new remainder 1025, and apply the division lemma to get
2063 = 1025 x 2 + 13
We consider the new divisor 1025 and the new remainder 13,and apply the division lemma to get
1025 = 13 x 78 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5151 and 7214 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(1025,13) = HCF(2063,1025) = HCF(5151,2063) = HCF(7214,5151) .
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Frequently Asked Questions on HCF of 5151, 7214 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 5151, 7214?
Answer: HCF of 5151, 7214 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5151, 7214 using Euclid's Algorithm?
Answer: For arbitrary numbers 5151, 7214 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
