Highest Common Factor of 5051, 3096 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 5051, 3096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5051, 3096 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 5051, 3096 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 5051, 3096 is 1.
HCF(5051, 3096) = 1
HCF of 5051, 3096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5051, 3096 is 1.
Highest Common Factor of 5051,3096 is 1
Step 1: Since 5051 > 3096, we apply the division lemma to 5051 and 3096, to get
5051 = 3096 x 1 + 1955
Step 2: Since the reminder 3096 ≠ 0, we apply division lemma to 1955 and 3096, to get
3096 = 1955 x 1 + 1141
Step 3: We consider the new divisor 1955 and the new remainder 1141, and apply the division lemma to get
1955 = 1141 x 1 + 814
We consider the new divisor 1141 and the new remainder 814,and apply the division lemma to get
1141 = 814 x 1 + 327
We consider the new divisor 814 and the new remainder 327,and apply the division lemma to get
814 = 327 x 2 + 160
We consider the new divisor 327 and the new remainder 160,and apply the division lemma to get
327 = 160 x 2 + 7
We consider the new divisor 160 and the new remainder 7,and apply the division lemma to get
160 = 7 x 22 + 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 5051 and 3096 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(160,7) = HCF(327,160) = HCF(814,327) = HCF(1141,814) = HCF(1955,1141) = HCF(3096,1955) = HCF(5051,3096) .
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Frequently Asked Questions on HCF of 5051, 3096 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 5051, 3096?
Answer: HCF of 5051, 3096 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5051, 3096 using Euclid's Algorithm?
Answer: For arbitrary numbers 5051, 3096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.