Highest Common Factor of 506, 8349 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 506, 8349 i.e. 253 the largest integer that leaves a remainder zero for all numbers.
HCF of 506, 8349 is 253 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 506, 8349 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 506, 8349 is 253.
HCF(506, 8349) = 253
HCF of 506, 8349 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 506, 8349 is 253.
Highest Common Factor of 506,8349 is 253
Step 1: Since 8349 > 506, we apply the division lemma to 8349 and 506, to get
8349 = 506 x 16 + 253
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 253 and 506, to get
506 = 253 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 253, the HCF of 506 and 8349 is 253
Notice that 253 = HCF(506,253) = HCF(8349,506) .
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Frequently Asked Questions on HCF of 506, 8349 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 506, 8349?
Answer: HCF of 506, 8349 is 253 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 506, 8349 using Euclid's Algorithm?
Answer: For arbitrary numbers 506, 8349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
