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 965, 365, 887, 55 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 365, 887, 55 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 965, 365, 887, 55 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 965, 365, 887, 55 is 1.
HCF(965, 365, 887, 55) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 365, 887, 55 is 1.
Step 1: Since 965 > 365, we apply the division lemma to 965 and 365, to get
965 = 365 x 2 + 235
Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 235 and 365, to get
365 = 235 x 1 + 130
Step 3: We consider the new divisor 235 and the new remainder 130, and apply the division lemma to get
235 = 130 x 1 + 105
We consider the new divisor 130 and the new remainder 105,and apply the division lemma to get
130 = 105 x 1 + 25
We consider the new divisor 105 and the new remainder 25,and apply the division lemma to get
105 = 25 x 4 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 965 and 365 is 5
Notice that 5 = HCF(25,5) = HCF(105,25) = HCF(130,105) = HCF(235,130) = HCF(365,235) = HCF(965,365) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 887 > 5, we apply the division lemma to 887 and 5, to get
887 = 5 x 177 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 5 and 887 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(887,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55 > 1, we apply the division lemma to 55 and 1, to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55 is 1
Notice that 1 = HCF(55,1) .
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 965, 365, 887, 55?
Answer: HCF of 965, 365, 887, 55 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 365, 887, 55 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 365, 887, 55 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.