Highest Common Factor of 969, 696, 327 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 969, 696, 327 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 969, 696, 327 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 969, 696, 327 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 969, 696, 327 is 3.
HCF(969, 696, 327) = 3
HCF of 969, 696, 327 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 969, 696, 327 is 3.
Highest Common Factor of 969,696,327 is 3
Step 1: Since 969 > 696, we apply the division lemma to 969 and 696, to get
969 = 696 x 1 + 273
Step 2: Since the reminder 696 ≠ 0, we apply division lemma to 273 and 696, to get
696 = 273 x 2 + 150
Step 3: We consider the new divisor 273 and the new remainder 150, and apply the division lemma to get
273 = 150 x 1 + 123
We consider the new divisor 150 and the new remainder 123,and apply the division lemma to get
150 = 123 x 1 + 27
We consider the new divisor 123 and the new remainder 27,and apply the division lemma to get
123 = 27 x 4 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 969 and 696 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(123,27) = HCF(150,123) = HCF(273,150) = HCF(696,273) = HCF(969,696) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 327 > 3, we apply the division lemma to 327 and 3, to get
327 = 3 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 327 is 3
Notice that 3 = HCF(327,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 969, 696, 327 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 969, 696, 327?
Answer: HCF of 969, 696, 327 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 969, 696, 327 using Euclid's Algorithm?
Answer: For arbitrary numbers 969, 696, 327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
