Highest Common Factor of 882, 232, 340 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 882, 232, 340 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 882, 232, 340 is 2 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 882, 232, 340 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 882, 232, 340 is 2.
HCF(882, 232, 340) = 2
HCF of 882, 232, 340 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 882, 232, 340 is 2.
Highest Common Factor of 882,232,340 is 2
Step 1: Since 882 > 232, we apply the division lemma to 882 and 232, to get
882 = 232 x 3 + 186
Step 2: Since the reminder 232 ≠ 0, we apply division lemma to 186 and 232, to get
232 = 186 x 1 + 46
Step 3: We consider the new divisor 186 and the new remainder 46, and apply the division lemma to get
186 = 46 x 4 + 2
We consider the new divisor 46 and the new remainder 2, and apply the division lemma to get
46 = 2 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 882 and 232 is 2
Notice that 2 = HCF(46,2) = HCF(186,46) = HCF(232,186) = HCF(882,232) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 340 > 2, we apply the division lemma to 340 and 2, to get
340 = 2 x 170 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 340 is 2
Notice that 2 = HCF(340,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 882, 232, 340 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 882, 232, 340?
Answer: HCF of 882, 232, 340 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 882, 232, 340 using Euclid's Algorithm?
Answer: For arbitrary numbers 882, 232, 340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.