Highest Common Factor of 9245, 5846 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 9245, 5846 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9245, 5846 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 9245, 5846 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 9245, 5846 is 1.
HCF(9245, 5846) = 1
HCF of 9245, 5846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9245, 5846 is 1.
Highest Common Factor of 9245,5846 is 1
Step 1: Since 9245 > 5846, we apply the division lemma to 9245 and 5846, to get
9245 = 5846 x 1 + 3399
Step 2: Since the reminder 5846 ≠ 0, we apply division lemma to 3399 and 5846, to get
5846 = 3399 x 1 + 2447
Step 3: We consider the new divisor 3399 and the new remainder 2447, and apply the division lemma to get
3399 = 2447 x 1 + 952
We consider the new divisor 2447 and the new remainder 952,and apply the division lemma to get
2447 = 952 x 2 + 543
We consider the new divisor 952 and the new remainder 543,and apply the division lemma to get
952 = 543 x 1 + 409
We consider the new divisor 543 and the new remainder 409,and apply the division lemma to get
543 = 409 x 1 + 134
We consider the new divisor 409 and the new remainder 134,and apply the division lemma to get
409 = 134 x 3 + 7
We consider the new divisor 134 and the new remainder 7,and apply the division lemma to get
134 = 7 x 19 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9245 and 5846 is 1
Notice that 1 = HCF(7,1) = HCF(134,7) = HCF(409,134) = HCF(543,409) = HCF(952,543) = HCF(2447,952) = HCF(3399,2447) = HCF(5846,3399) = HCF(9245,5846) .
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Frequently Asked Questions on HCF of 9245, 5846 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 9245, 5846?
Answer: HCF of 9245, 5846 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9245, 5846 using Euclid's Algorithm?
Answer: For arbitrary numbers 9245, 5846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
