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 348, 638 i.e. 58 the largest integer that leaves a remainder zero for all numbers.
HCF of 348, 638 is 58 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 348, 638 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 348, 638 is 58.
HCF(348, 638) = 58
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 348, 638 is 58.
Step 1: Since 638 > 348, we apply the division lemma to 638 and 348, to get
638 = 348 x 1 + 290
Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 290 and 348, to get
348 = 290 x 1 + 58
Step 3: We consider the new divisor 290 and the new remainder 58, and apply the division lemma to get
290 = 58 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 58, the HCF of 348 and 638 is 58
Notice that 58 = HCF(290,58) = HCF(348,290) = HCF(638,348) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 348, 638?
Answer: HCF of 348, 638 is 58 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 348, 638 using Euclid's Algorithm?
Answer: For arbitrary numbers 348, 638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.