Highest Common Factor of 8741, 5102 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 8741, 5102 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8741, 5102 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 8741, 5102 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 8741, 5102 is 1.
HCF(8741, 5102) = 1
HCF of 8741, 5102 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8741, 5102 is 1.
Highest Common Factor of 8741,5102 is 1
Step 1: Since 8741 > 5102, we apply the division lemma to 8741 and 5102, to get
8741 = 5102 x 1 + 3639
Step 2: Since the reminder 5102 ≠ 0, we apply division lemma to 3639 and 5102, to get
5102 = 3639 x 1 + 1463
Step 3: We consider the new divisor 3639 and the new remainder 1463, and apply the division lemma to get
3639 = 1463 x 2 + 713
We consider the new divisor 1463 and the new remainder 713,and apply the division lemma to get
1463 = 713 x 2 + 37
We consider the new divisor 713 and the new remainder 37,and apply the division lemma to get
713 = 37 x 19 + 10
We consider the new divisor 37 and the new remainder 10,and apply the division lemma to get
37 = 10 x 3 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8741 and 5102 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(37,10) = HCF(713,37) = HCF(1463,713) = HCF(3639,1463) = HCF(5102,3639) = HCF(8741,5102) .
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Frequently Asked Questions on HCF of 8741, 5102 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 8741, 5102?
Answer: HCF of 8741, 5102 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8741, 5102 using Euclid's Algorithm?
Answer: For arbitrary numbers 8741, 5102 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.