Highest Common Factor of 348, 885 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 348, 885 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 348, 885 is 3 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, 885 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, 885 is 3.
HCF(348, 885) = 3
HCF of 348, 885 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 348, 885 is 3.
Highest Common Factor of 348,885 is 3
Step 1: Since 885 > 348, we apply the division lemma to 885 and 348, to get
885 = 348 x 2 + 189
Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 189 and 348, to get
348 = 189 x 1 + 159
Step 3: We consider the new divisor 189 and the new remainder 159, and apply the division lemma to get
189 = 159 x 1 + 30
We consider the new divisor 159 and the new remainder 30,and apply the division lemma to get
159 = 30 x 5 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 348 and 885 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(159,30) = HCF(189,159) = HCF(348,189) = HCF(885,348) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 348, 885 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 348, 885?
Answer: HCF of 348, 885 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 348, 885 using Euclid's Algorithm?
Answer: For arbitrary numbers 348, 885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.