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 297, 764, 696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 297, 764, 696 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 297, 764, 696 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 297, 764, 696 is 1.
HCF(297, 764, 696) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 297, 764, 696 is 1.
Step 1: Since 764 > 297, we apply the division lemma to 764 and 297, to get
764 = 297 x 2 + 170
Step 2: Since the reminder 297 ≠ 0, we apply division lemma to 170 and 297, to get
297 = 170 x 1 + 127
Step 3: We consider the new divisor 170 and the new remainder 127, and apply the division lemma to get
170 = 127 x 1 + 43
We consider the new divisor 127 and the new remainder 43,and apply the division lemma to get
127 = 43 x 2 + 41
We consider the new divisor 43 and the new remainder 41,and apply the division lemma to get
43 = 41 x 1 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 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 297 and 764 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(43,41) = HCF(127,43) = HCF(170,127) = HCF(297,170) = HCF(764,297) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 696 > 1, we apply the division lemma to 696 and 1, to get
696 = 1 x 696 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 696 is 1
Notice that 1 = HCF(696,1) .
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 297, 764, 696?
Answer: HCF of 297, 764, 696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 297, 764, 696 using Euclid's Algorithm?
Answer: For arbitrary numbers 297, 764, 696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.