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 884, 645, 356 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 645, 356 is 1 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 884, 645, 356 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 884, 645, 356 is 1.
HCF(884, 645, 356) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 884, 645, 356 is 1.
Step 1: Since 884 > 645, we apply the division lemma to 884 and 645, to get
884 = 645 x 1 + 239
Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 239 and 645, to get
645 = 239 x 2 + 167
Step 3: We consider the new divisor 239 and the new remainder 167, and apply the division lemma to get
239 = 167 x 1 + 72
We consider the new divisor 167 and the new remainder 72,and apply the division lemma to get
167 = 72 x 2 + 23
We consider the new divisor 72 and the new remainder 23,and apply the division lemma to get
72 = 23 x 3 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 884 and 645 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(72,23) = HCF(167,72) = HCF(239,167) = HCF(645,239) = HCF(884,645) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 356 > 1, we apply the division lemma to 356 and 1, to get
356 = 1 x 356 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 356 is 1
Notice that 1 = HCF(356,1) .
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 884, 645, 356?
Answer: HCF of 884, 645, 356 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 645, 356 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 645, 356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.