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 203, 348 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 203, 348 is 29 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 203, 348 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 203, 348 is 29.
HCF(203, 348) = 29
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 203, 348 is 29.
Step 1: Since 348 > 203, we apply the division lemma to 348 and 203, to get
348 = 203 x 1 + 145
Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 145 and 203, to get
203 = 145 x 1 + 58
Step 3: We consider the new divisor 145 and the new remainder 58, and apply the division lemma to get
145 = 58 x 2 + 29
We consider the new divisor 58 and the new remainder 29, and apply the division lemma to get
58 = 29 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 203 and 348 is 29
Notice that 29 = HCF(58,29) = HCF(145,58) = HCF(203,145) = HCF(348,203) .
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 203, 348?
Answer: HCF of 203, 348 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 203, 348 using Euclid's Algorithm?
Answer: For arbitrary numbers 203, 348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.