Highest Common Factor of 5146, 8494 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 5146, 8494 i.e. 62 the largest integer that leaves a remainder zero for all numbers.
HCF of 5146, 8494 is 62 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 5146, 8494 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 5146, 8494 is 62.
HCF(5146, 8494) = 62
HCF of 5146, 8494 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5146, 8494 is 62.
Highest Common Factor of 5146,8494 is 62
Step 1: Since 8494 > 5146, we apply the division lemma to 8494 and 5146, to get
8494 = 5146 x 1 + 3348
Step 2: Since the reminder 5146 ≠ 0, we apply division lemma to 3348 and 5146, to get
5146 = 3348 x 1 + 1798
Step 3: We consider the new divisor 3348 and the new remainder 1798, and apply the division lemma to get
3348 = 1798 x 1 + 1550
We consider the new divisor 1798 and the new remainder 1550,and apply the division lemma to get
1798 = 1550 x 1 + 248
We consider the new divisor 1550 and the new remainder 248,and apply the division lemma to get
1550 = 248 x 6 + 62
We consider the new divisor 248 and the new remainder 62,and apply the division lemma to get
248 = 62 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 62, the HCF of 5146 and 8494 is 62
Notice that 62 = HCF(248,62) = HCF(1550,248) = HCF(1798,1550) = HCF(3348,1798) = HCF(5146,3348) = HCF(8494,5146) .
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Frequently Asked Questions on HCF of 5146, 8494 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 5146, 8494?
Answer: HCF of 5146, 8494 is 62 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5146, 8494 using Euclid's Algorithm?
Answer: For arbitrary numbers 5146, 8494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.