Highest Common Factor of 2650, 7341 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, 7341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2650, 7341 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 2650, 7341 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, 7341 is 1.
HCF(2650, 7341) = 1
HCF of 2650, 7341 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, 7341 is 1.
Highest Common Factor of 2650,7341 is 1
Step 1: Since 7341 > 2650, we apply the division lemma to 7341 and 2650, to get
7341 = 2650 x 2 + 2041
Step 2: Since the reminder 2650 ≠ 0, we apply division lemma to 2041 and 2650, to get
2650 = 2041 x 1 + 609
Step 3: We consider the new divisor 2041 and the new remainder 609, and apply the division lemma to get
2041 = 609 x 3 + 214
We consider the new divisor 609 and the new remainder 214,and apply the division lemma to get
609 = 214 x 2 + 181
We consider the new divisor 214 and the new remainder 181,and apply the division lemma to get
214 = 181 x 1 + 33
We consider the new divisor 181 and the new remainder 33,and apply the division lemma to get
181 = 33 x 5 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2650 and 7341 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(181,33) = HCF(214,181) = HCF(609,214) = HCF(2041,609) = HCF(2650,2041) = HCF(7341,2650) .
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Frequently Asked Questions on HCF of 2650, 7341 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, 7341?
Answer: HCF of 2650, 7341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2650, 7341 using Euclid's Algorithm?
Answer: For arbitrary numbers 2650, 7341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.