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 747, 551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 551 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 747, 551 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 747, 551 is 1.
HCF(747, 551) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 551 is 1.
Step 1: Since 747 > 551, we apply the division lemma to 747 and 551, to get
747 = 551 x 1 + 196
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 196 and 551, to get
551 = 196 x 2 + 159
Step 3: We consider the new divisor 196 and the new remainder 159, and apply the division lemma to get
196 = 159 x 1 + 37
We consider the new divisor 159 and the new remainder 37,and apply the division lemma to get
159 = 37 x 4 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 747 and 551 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(159,37) = HCF(196,159) = HCF(551,196) = HCF(747,551) .
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 747, 551?
Answer: HCF of 747, 551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 551 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.