Highest Common Factor of 871, 744, 649 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 871, 744, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 744, 649 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 871, 744, 649 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 871, 744, 649 is 1.
HCF(871, 744, 649) = 1
HCF of 871, 744, 649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 871, 744, 649 is 1.
Highest Common Factor of 871,744,649 is 1
Step 1: Since 871 > 744, we apply the division lemma to 871 and 744, to get
871 = 744 x 1 + 127
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 127 and 744, to get
744 = 127 x 5 + 109
Step 3: We consider the new divisor 127 and the new remainder 109, and apply the division lemma to get
127 = 109 x 1 + 18
We consider the new divisor 109 and the new remainder 18,and apply the division lemma to get
109 = 18 x 6 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 744 is 1
Notice that 1 = HCF(18,1) = HCF(109,18) = HCF(127,109) = HCF(744,127) = HCF(871,744) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 649 > 1, we apply the division lemma to 649 and 1, to get
649 = 1 x 649 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 649 is 1
Notice that 1 = HCF(649,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 871, 744, 649 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 871, 744, 649?
Answer: HCF of 871, 744, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 744, 649 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 744, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.