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 84, 896, 503, 605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 84, 896, 503, 605 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 84, 896, 503, 605 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 84, 896, 503, 605 is 1.
HCF(84, 896, 503, 605) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 84, 896, 503, 605 is 1.
Step 1: Since 896 > 84, we apply the division lemma to 896 and 84, to get
896 = 84 x 10 + 56
Step 2: Since the reminder 84 ≠ 0, we apply division lemma to 56 and 84, to get
84 = 56 x 1 + 28
Step 3: We consider the new divisor 56 and the new remainder 28, and apply the division lemma to get
56 = 28 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 84 and 896 is 28
Notice that 28 = HCF(56,28) = HCF(84,56) = HCF(896,84) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 503 > 28, we apply the division lemma to 503 and 28, to get
503 = 28 x 17 + 27
Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 27 and 28, to get
28 = 27 x 1 + 1
Step 3: We consider the new divisor 27 and the new remainder 1, and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 28 and 503 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(503,28) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 605 > 1, we apply the division lemma to 605 and 1, to get
605 = 1 x 605 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 605 is 1
Notice that 1 = HCF(605,1) .
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 84, 896, 503, 605?
Answer: HCF of 84, 896, 503, 605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 84, 896, 503, 605 using Euclid's Algorithm?
Answer: For arbitrary numbers 84, 896, 503, 605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.