Highest Common Factor of 9053, 7860 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 9053, 7860 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9053, 7860 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 9053, 7860 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 9053, 7860 is 1.
HCF(9053, 7860) = 1
HCF of 9053, 7860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9053, 7860 is 1.
Highest Common Factor of 9053,7860 is 1
Step 1: Since 9053 > 7860, we apply the division lemma to 9053 and 7860, to get
9053 = 7860 x 1 + 1193
Step 2: Since the reminder 7860 ≠ 0, we apply division lemma to 1193 and 7860, to get
7860 = 1193 x 6 + 702
Step 3: We consider the new divisor 1193 and the new remainder 702, and apply the division lemma to get
1193 = 702 x 1 + 491
We consider the new divisor 702 and the new remainder 491,and apply the division lemma to get
702 = 491 x 1 + 211
We consider the new divisor 491 and the new remainder 211,and apply the division lemma to get
491 = 211 x 2 + 69
We consider the new divisor 211 and the new remainder 69,and apply the division lemma to get
211 = 69 x 3 + 4
We consider the new divisor 69 and the new remainder 4,and apply the division lemma to get
69 = 4 x 17 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9053 and 7860 is 1
Notice that 1 = HCF(4,1) = HCF(69,4) = HCF(211,69) = HCF(491,211) = HCF(702,491) = HCF(1193,702) = HCF(7860,1193) = HCF(9053,7860) .
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Frequently Asked Questions on HCF of 9053, 7860 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 9053, 7860?
Answer: HCF of 9053, 7860 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9053, 7860 using Euclid's Algorithm?
Answer: For arbitrary numbers 9053, 7860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
