Highest Common Factor of 8740, 1129 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 8740, 1129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8740, 1129 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 8740, 1129 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 8740, 1129 is 1.
HCF(8740, 1129) = 1
HCF of 8740, 1129 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8740, 1129 is 1.
Highest Common Factor of 8740,1129 is 1
Step 1: Since 8740 > 1129, we apply the division lemma to 8740 and 1129, to get
8740 = 1129 x 7 + 837
Step 2: Since the reminder 1129 ≠ 0, we apply division lemma to 837 and 1129, to get
1129 = 837 x 1 + 292
Step 3: We consider the new divisor 837 and the new remainder 292, and apply the division lemma to get
837 = 292 x 2 + 253
We consider the new divisor 292 and the new remainder 253,and apply the division lemma to get
292 = 253 x 1 + 39
We consider the new divisor 253 and the new remainder 39,and apply the division lemma to get
253 = 39 x 6 + 19
We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get
39 = 19 x 2 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8740 and 1129 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(253,39) = HCF(292,253) = HCF(837,292) = HCF(1129,837) = HCF(8740,1129) .
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Frequently Asked Questions on HCF of 8740, 1129 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 8740, 1129?
Answer: HCF of 8740, 1129 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8740, 1129 using Euclid's Algorithm?
Answer: For arbitrary numbers 8740, 1129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.