Highest Common Factor of 2830, 9680 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 2830, 9680 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 2830, 9680 is 10 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 2830, 9680 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 2830, 9680 is 10.
HCF(2830, 9680) = 10
HCF of 2830, 9680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2830, 9680 is 10.
Highest Common Factor of 2830,9680 is 10
Step 1: Since 9680 > 2830, we apply the division lemma to 9680 and 2830, to get
9680 = 2830 x 3 + 1190
Step 2: Since the reminder 2830 ≠ 0, we apply division lemma to 1190 and 2830, to get
2830 = 1190 x 2 + 450
Step 3: We consider the new divisor 1190 and the new remainder 450, and apply the division lemma to get
1190 = 450 x 2 + 290
We consider the new divisor 450 and the new remainder 290,and apply the division lemma to get
450 = 290 x 1 + 160
We consider the new divisor 290 and the new remainder 160,and apply the division lemma to get
290 = 160 x 1 + 130
We consider the new divisor 160 and the new remainder 130,and apply the division lemma to get
160 = 130 x 1 + 30
We consider the new divisor 130 and the new remainder 30,and apply the division lemma to get
130 = 30 x 4 + 10
We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 2830 and 9680 is 10
Notice that 10 = HCF(30,10) = HCF(130,30) = HCF(160,130) = HCF(290,160) = HCF(450,290) = HCF(1190,450) = HCF(2830,1190) = HCF(9680,2830) .
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Frequently Asked Questions on HCF of 2830, 9680 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 2830, 9680?
Answer: HCF of 2830, 9680 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2830, 9680 using Euclid's Algorithm?
Answer: For arbitrary numbers 2830, 9680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.