Highest Common Factor of 2550, 9291 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 2550, 9291 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2550, 9291 is 3 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 2550, 9291 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 2550, 9291 is 3.
HCF(2550, 9291) = 3
HCF of 2550, 9291 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2550, 9291 is 3.
Highest Common Factor of 2550,9291 is 3
Step 1: Since 9291 > 2550, we apply the division lemma to 9291 and 2550, to get
9291 = 2550 x 3 + 1641
Step 2: Since the reminder 2550 ≠ 0, we apply division lemma to 1641 and 2550, to get
2550 = 1641 x 1 + 909
Step 3: We consider the new divisor 1641 and the new remainder 909, and apply the division lemma to get
1641 = 909 x 1 + 732
We consider the new divisor 909 and the new remainder 732,and apply the division lemma to get
909 = 732 x 1 + 177
We consider the new divisor 732 and the new remainder 177,and apply the division lemma to get
732 = 177 x 4 + 24
We consider the new divisor 177 and the new remainder 24,and apply the division lemma to get
177 = 24 x 7 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2550 and 9291 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(177,24) = HCF(732,177) = HCF(909,732) = HCF(1641,909) = HCF(2550,1641) = HCF(9291,2550) .
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Frequently Asked Questions on HCF of 2550, 9291 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 2550, 9291?
Answer: HCF of 2550, 9291 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2550, 9291 using Euclid's Algorithm?
Answer: For arbitrary numbers 2550, 9291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.