Highest Common Factor of 248, 682 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 248, 682 i.e. 62 the largest integer that leaves a remainder zero for all numbers.
HCF of 248, 682 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 248, 682 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 248, 682 is 62.
HCF(248, 682) = 62
HCF of 248, 682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 248, 682 is 62.
Highest Common Factor of 248,682 is 62
Step 1: Since 682 > 248, we apply the division lemma to 682 and 248, to get
682 = 248 x 2 + 186
Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 186 and 248, to get
248 = 186 x 1 + 62
Step 3: We consider the new divisor 186 and the new remainder 62, and apply the division lemma to get
186 = 62 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 62, the HCF of 248 and 682 is 62
Notice that 62 = HCF(186,62) = HCF(248,186) = HCF(682,248) .
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Frequently Asked Questions on HCF of 248, 682 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 248, 682?
Answer: HCF of 248, 682 is 62 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 248, 682 using Euclid's Algorithm?
Answer: For arbitrary numbers 248, 682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
