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 551, 775, 695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 775, 695 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 551, 775, 695 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 551, 775, 695 is 1.
HCF(551, 775, 695) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 551, 775, 695 is 1.
Step 1: Since 775 > 551, we apply the division lemma to 775 and 551, to get
775 = 551 x 1 + 224
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 224 and 551, to get
551 = 224 x 2 + 103
Step 3: We consider the new divisor 224 and the new remainder 103, and apply the division lemma to get
224 = 103 x 2 + 18
We consider the new divisor 103 and the new remainder 18,and apply the division lemma to get
103 = 18 x 5 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 551 and 775 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(103,18) = HCF(224,103) = HCF(551,224) = HCF(775,551) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 695 > 1, we apply the division lemma to 695 and 1, to get
695 = 1 x 695 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 695 is 1
Notice that 1 = HCF(695,1) .
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 551, 775, 695?
Answer: HCF of 551, 775, 695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 775, 695 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 775, 695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.