Highest Common Factor of 885, 802, 487 using Euclid's algorithm
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, 802, 487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 802, 487 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, 802, 487 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, 802, 487 is 1.
HCF(885, 802, 487) = 1
HCF of 885, 802, 487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 802, 487 is 1.
Highest Common Factor of 885,802,487 is 1
Step 1: Since 885 > 802, we apply the division lemma to 885 and 802, to get
885 = 802 x 1 + 83
Step 2: Since the reminder 802 ≠ 0, we apply division lemma to 83 and 802, to get
802 = 83 x 9 + 55
Step 3: We consider the new divisor 83 and the new remainder 55, and apply the division lemma to get
83 = 55 x 1 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
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 885 and 802 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(83,55) = HCF(802,83) = HCF(885,802) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 487 > 1, we apply the division lemma to 487 and 1, to get
487 = 1 x 487 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 487 is 1
Notice that 1 = HCF(487,1) .
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Frequently Asked Questions on HCF of 885, 802, 487 using Euclid's Algorithm
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, 802, 487?
Answer: HCF of 885, 802, 487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 802, 487 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 802, 487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.