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 644, 866, 880, 897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 866, 880, 897 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 644, 866, 880, 897 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 644, 866, 880, 897 is 1.
HCF(644, 866, 880, 897) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 644, 866, 880, 897 is 1.
Step 1: Since 866 > 644, we apply the division lemma to 866 and 644, to get
866 = 644 x 1 + 222
Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 222 and 644, to get
644 = 222 x 2 + 200
Step 3: We consider the new divisor 222 and the new remainder 200, and apply the division lemma to get
222 = 200 x 1 + 22
We consider the new divisor 200 and the new remainder 22,and apply the division lemma to get
200 = 22 x 9 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 644 and 866 is 2
Notice that 2 = HCF(22,2) = HCF(200,22) = HCF(222,200) = HCF(644,222) = HCF(866,644) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 880 > 2, we apply the division lemma to 880 and 2, to get
880 = 2 x 440 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 880 is 2
Notice that 2 = HCF(880,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 897 > 2, we apply the division lemma to 897 and 2, to get
897 = 2 x 448 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 897 is 1
Notice that 1 = HCF(2,1) = HCF(897,2) .
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 644, 866, 880, 897?
Answer: HCF of 644, 866, 880, 897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 866, 880, 897 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 866, 880, 897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.