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 695, 991, 449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 695, 991, 449 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 695, 991, 449 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 695, 991, 449 is 1.
HCF(695, 991, 449) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 695, 991, 449 is 1.
Step 1: Since 991 > 695, we apply the division lemma to 991 and 695, to get
991 = 695 x 1 + 296
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 296 and 695, to get
695 = 296 x 2 + 103
Step 3: We consider the new divisor 296 and the new remainder 103, and apply the division lemma to get
296 = 103 x 2 + 90
We consider the new divisor 103 and the new remainder 90,and apply the division lemma to get
103 = 90 x 1 + 13
We consider the new divisor 90 and the new remainder 13,and apply the division lemma to get
90 = 13 x 6 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 695 and 991 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(90,13) = HCF(103,90) = HCF(296,103) = HCF(695,296) = HCF(991,695) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 449 > 1, we apply the division lemma to 449 and 1, to get
449 = 1 x 449 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 449 is 1
Notice that 1 = HCF(449,1) .
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 695, 991, 449?
Answer: HCF of 695, 991, 449 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 695, 991, 449 using Euclid's Algorithm?
Answer: For arbitrary numbers 695, 991, 449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.