Highest Common Factor of 984, 830 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 984, 830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 984, 830 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 984, 830 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 984, 830 is 2.
HCF(984, 830) = 2
HCF of 984, 830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 984, 830 is 2.
Highest Common Factor of 984,830 is 2
Step 1: Since 984 > 830, we apply the division lemma to 984 and 830, to get
984 = 830 x 1 + 154
Step 2: Since the reminder 830 ≠ 0, we apply division lemma to 154 and 830, to get
830 = 154 x 5 + 60
Step 3: We consider the new divisor 154 and the new remainder 60, and apply the division lemma to get
154 = 60 x 2 + 34
We consider the new divisor 60 and the new remainder 34,and apply the division lemma to get
60 = 34 x 1 + 26
We consider the new divisor 34 and the new remainder 26,and apply the division lemma to get
34 = 26 x 1 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 984 and 830 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(34,26) = HCF(60,34) = HCF(154,60) = HCF(830,154) = HCF(984,830) .
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Frequently Asked Questions on HCF of 984, 830 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 984, 830?
Answer: HCF of 984, 830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 984, 830 using Euclid's Algorithm?
Answer: For arbitrary numbers 984, 830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.