Highest Common Factor of 3127, 8103 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 3127, 8103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3127, 8103 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 3127, 8103 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 3127, 8103 is 1.
HCF(3127, 8103) = 1
HCF of 3127, 8103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3127, 8103 is 1.
Highest Common Factor of 3127,8103 is 1
Step 1: Since 8103 > 3127, we apply the division lemma to 8103 and 3127, to get
8103 = 3127 x 2 + 1849
Step 2: Since the reminder 3127 ≠ 0, we apply division lemma to 1849 and 3127, to get
3127 = 1849 x 1 + 1278
Step 3: We consider the new divisor 1849 and the new remainder 1278, and apply the division lemma to get
1849 = 1278 x 1 + 571
We consider the new divisor 1278 and the new remainder 571,and apply the division lemma to get
1278 = 571 x 2 + 136
We consider the new divisor 571 and the new remainder 136,and apply the division lemma to get
571 = 136 x 4 + 27
We consider the new divisor 136 and the new remainder 27,and apply the division lemma to get
136 = 27 x 5 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3127 and 8103 is 1
Notice that 1 = HCF(27,1) = HCF(136,27) = HCF(571,136) = HCF(1278,571) = HCF(1849,1278) = HCF(3127,1849) = HCF(8103,3127) .
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Frequently Asked Questions on HCF of 3127, 8103 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 3127, 8103?
Answer: HCF of 3127, 8103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3127, 8103 using Euclid's Algorithm?
Answer: For arbitrary numbers 3127, 8103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.