Highest Common Factor of 828, 650 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 828, 650 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 828, 650 is 2 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 828, 650 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 828, 650 is 2.
HCF(828, 650) = 2
HCF of 828, 650 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 828, 650 is 2.
Highest Common Factor of 828,650 is 2
Step 1: Since 828 > 650, we apply the division lemma to 828 and 650, to get
828 = 650 x 1 + 178
Step 2: Since the reminder 650 ≠ 0, we apply division lemma to 178 and 650, to get
650 = 178 x 3 + 116
Step 3: We consider the new divisor 178 and the new remainder 116, and apply the division lemma to get
178 = 116 x 1 + 62
We consider the new divisor 116 and the new remainder 62,and apply the division lemma to get
116 = 62 x 1 + 54
We consider the new divisor 62 and the new remainder 54,and apply the division lemma to get
62 = 54 x 1 + 8
We consider the new divisor 54 and the new remainder 8,and apply the division lemma to get
54 = 8 x 6 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 828 and 650 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(54,8) = HCF(62,54) = HCF(116,62) = HCF(178,116) = HCF(650,178) = HCF(828,650) .
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Frequently Asked Questions on HCF of 828, 650 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 828, 650?
Answer: HCF of 828, 650 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 828, 650 using Euclid's Algorithm?
Answer: For arbitrary numbers 828, 650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
