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 487, 802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 487, 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 487, 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 487, 802 is 1.
HCF(487, 802) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 487, 802 is 1.
Step 1: Since 802 > 487, we apply the division lemma to 802 and 487, to get
802 = 487 x 1 + 315
Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 315 and 487, to get
487 = 315 x 1 + 172
Step 3: We consider the new divisor 315 and the new remainder 172, and apply the division lemma to get
315 = 172 x 1 + 143
We consider the new divisor 172 and the new remainder 143,and apply the division lemma to get
172 = 143 x 1 + 29
We consider the new divisor 143 and the new remainder 29,and apply the division lemma to get
143 = 29 x 4 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 1
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 487 and 802 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(143,29) = HCF(172,143) = HCF(315,172) = HCF(487,315) = HCF(802,487) .
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 487, 802?
Answer: HCF of 487, 802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 487, 802 using Euclid's Algorithm?
Answer: For arbitrary numbers 487, 802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.