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 885, 600, 802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 600, 802 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 885, 600, 802 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 885, 600, 802 is 1.
HCF(885, 600, 802) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 600, 802 is 1.
Step 1: Since 885 > 600, we apply the division lemma to 885 and 600, to get
885 = 600 x 1 + 285
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 285 and 600, to get
600 = 285 x 2 + 30
Step 3: We consider the new divisor 285 and the new remainder 30, and apply the division lemma to get
285 = 30 x 9 + 15
We consider the new divisor 30 and the new remainder 15, and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 885 and 600 is 15
Notice that 15 = HCF(30,15) = HCF(285,30) = HCF(600,285) = HCF(885,600) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 802 > 15, we apply the division lemma to 802 and 15, to get
802 = 15 x 53 + 7
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 7 and 15, to get
15 = 7 x 2 + 1
Step 3: We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 15 and 802 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(802,15) .
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 885, 600, 802?
Answer: HCF of 885, 600, 802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 600, 802 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 600, 802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.