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, 611, 154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 611, 154 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, 611, 154 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, 611, 154 is 1.
HCF(884, 611, 154) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 884, 611, 154 is 1.
Step 1: Since 884 > 611, we apply the division lemma to 884 and 611, to get
884 = 611 x 1 + 273
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 273 and 611, to get
611 = 273 x 2 + 65
Step 3: We consider the new divisor 273 and the new remainder 65, and apply the division lemma to get
273 = 65 x 4 + 13
We consider the new divisor 65 and the new remainder 13, and apply the division lemma to get
65 = 13 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 884 and 611 is 13
Notice that 13 = HCF(65,13) = HCF(273,65) = HCF(611,273) = HCF(884,611) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 154 > 13, we apply the division lemma to 154 and 13, to get
154 = 13 x 11 + 11
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get
13 = 11 x 1 + 2
Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get
11 = 2 x 5 + 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 13 and 154 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(154,13) .
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, 611, 154?
Answer: HCF of 884, 611, 154 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 611, 154 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 611, 154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.