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 867, 553, 620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 553, 620 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 867, 553, 620 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 867, 553, 620 is 1.
HCF(867, 553, 620) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 553, 620 is 1.
Step 1: Since 867 > 553, we apply the division lemma to 867 and 553, to get
867 = 553 x 1 + 314
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 314 and 553, to get
553 = 314 x 1 + 239
Step 3: We consider the new divisor 314 and the new remainder 239, and apply the division lemma to get
314 = 239 x 1 + 75
We consider the new divisor 239 and the new remainder 75,and apply the division lemma to get
239 = 75 x 3 + 14
We consider the new divisor 75 and the new remainder 14,and apply the division lemma to get
75 = 14 x 5 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 867 and 553 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(75,14) = HCF(239,75) = HCF(314,239) = HCF(553,314) = HCF(867,553) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 620 > 1, we apply the division lemma to 620 and 1, to get
620 = 1 x 620 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 620 is 1
Notice that 1 = HCF(620,1) .
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 867, 553, 620?
Answer: HCF of 867, 553, 620 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 553, 620 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 553, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.