Highest Common Factor of 8365, 4957 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 8365, 4957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8365, 4957 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 8365, 4957 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 8365, 4957 is 1.
HCF(8365, 4957) = 1
HCF of 8365, 4957 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8365, 4957 is 1.
Highest Common Factor of 8365,4957 is 1
Step 1: Since 8365 > 4957, we apply the division lemma to 8365 and 4957, to get
8365 = 4957 x 1 + 3408
Step 2: Since the reminder 4957 ≠ 0, we apply division lemma to 3408 and 4957, to get
4957 = 3408 x 1 + 1549
Step 3: We consider the new divisor 3408 and the new remainder 1549, and apply the division lemma to get
3408 = 1549 x 2 + 310
We consider the new divisor 1549 and the new remainder 310,and apply the division lemma to get
1549 = 310 x 4 + 309
We consider the new divisor 310 and the new remainder 309,and apply the division lemma to get
310 = 309 x 1 + 1
We consider the new divisor 309 and the new remainder 1,and apply the division lemma to get
309 = 1 x 309 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8365 and 4957 is 1
Notice that 1 = HCF(309,1) = HCF(310,309) = HCF(1549,310) = HCF(3408,1549) = HCF(4957,3408) = HCF(8365,4957) .
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Frequently Asked Questions on HCF of 8365, 4957 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 8365, 4957?
Answer: HCF of 8365, 4957 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8365, 4957 using Euclid's Algorithm?
Answer: For arbitrary numbers 8365, 4957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.