Highest Common Factor of 2650, 9380 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 2650, 9380 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 2650, 9380 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 2650, 9380 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 2650, 9380 is 10.
HCF(2650, 9380) = 10
HCF of 2650, 9380 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2650, 9380 is 10.
Highest Common Factor of 2650,9380 is 10
Step 1: Since 9380 > 2650, we apply the division lemma to 9380 and 2650, to get
9380 = 2650 x 3 + 1430
Step 2: Since the reminder 2650 ≠ 0, we apply division lemma to 1430 and 2650, to get
2650 = 1430 x 1 + 1220
Step 3: We consider the new divisor 1430 and the new remainder 1220, and apply the division lemma to get
1430 = 1220 x 1 + 210
We consider the new divisor 1220 and the new remainder 210,and apply the division lemma to get
1220 = 210 x 5 + 170
We consider the new divisor 210 and the new remainder 170,and apply the division lemma to get
210 = 170 x 1 + 40
We consider the new divisor 170 and the new remainder 40,and apply the division lemma to get
170 = 40 x 4 + 10
We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 2650 and 9380 is 10
Notice that 10 = HCF(40,10) = HCF(170,40) = HCF(210,170) = HCF(1220,210) = HCF(1430,1220) = HCF(2650,1430) = HCF(9380,2650) .
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Frequently Asked Questions on HCF of 2650, 9380 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 2650, 9380?
Answer: HCF of 2650, 9380 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2650, 9380 using Euclid's Algorithm?
Answer: For arbitrary numbers 2650, 9380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.