Highest Common Factor of 221, 510, 802 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 221, 510, 802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 221, 510, 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 221, 510, 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 221, 510, 802 is 1.
HCF(221, 510, 802) = 1
HCF of 221, 510, 802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 221, 510, 802 is 1.
Highest Common Factor of 221,510,802 is 1
Step 1: Since 510 > 221, we apply the division lemma to 510 and 221, to get
510 = 221 x 2 + 68
Step 2: Since the reminder 221 ≠ 0, we apply division lemma to 68 and 221, to get
221 = 68 x 3 + 17
Step 3: We consider the new divisor 68 and the new remainder 17, and apply the division lemma to get
68 = 17 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 221 and 510 is 17
Notice that 17 = HCF(68,17) = HCF(221,68) = HCF(510,221) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 802 > 17, we apply the division lemma to 802 and 17, to get
802 = 17 x 47 + 3
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 3 and 17, to get
17 = 3 x 5 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 17 and 802 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(802,17) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 221, 510, 802 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 221, 510, 802?
Answer: HCF of 221, 510, 802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 221, 510, 802 using Euclid's Algorithm?
Answer: For arbitrary numbers 221, 510, 802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.