Highest Common Factor of 8755, 1828 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 8755, 1828 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8755, 1828 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 8755, 1828 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 8755, 1828 is 1.
HCF(8755, 1828) = 1
HCF of 8755, 1828 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8755, 1828 is 1.
Highest Common Factor of 8755,1828 is 1
Step 1: Since 8755 > 1828, we apply the division lemma to 8755 and 1828, to get
8755 = 1828 x 4 + 1443
Step 2: Since the reminder 1828 ≠ 0, we apply division lemma to 1443 and 1828, to get
1828 = 1443 x 1 + 385
Step 3: We consider the new divisor 1443 and the new remainder 385, and apply the division lemma to get
1443 = 385 x 3 + 288
We consider the new divisor 385 and the new remainder 288,and apply the division lemma to get
385 = 288 x 1 + 97
We consider the new divisor 288 and the new remainder 97,and apply the division lemma to get
288 = 97 x 2 + 94
We consider the new divisor 97 and the new remainder 94,and apply the division lemma to get
97 = 94 x 1 + 3
We consider the new divisor 94 and the new remainder 3,and apply the division lemma to get
94 = 3 x 31 + 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 8755 and 1828 is 1
Notice that 1 = HCF(3,1) = HCF(94,3) = HCF(97,94) = HCF(288,97) = HCF(385,288) = HCF(1443,385) = HCF(1828,1443) = HCF(8755,1828) .
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Frequently Asked Questions on HCF of 8755, 1828 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 8755, 1828?
Answer: HCF of 8755, 1828 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8755, 1828 using Euclid's Algorithm?
Answer: For arbitrary numbers 8755, 1828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.