Highest Common Factor of 2601, 9127, 96208 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 2601, 9127, 96208 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2601, 9127, 96208 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 2601, 9127, 96208 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 2601, 9127, 96208 is 1.
HCF(2601, 9127, 96208) = 1
HCF of 2601, 9127, 96208 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2601, 9127, 96208 is 1.
Highest Common Factor of 2601,9127,96208 is 1
Step 1: Since 9127 > 2601, we apply the division lemma to 9127 and 2601, to get
9127 = 2601 x 3 + 1324
Step 2: Since the reminder 2601 ≠ 0, we apply division lemma to 1324 and 2601, to get
2601 = 1324 x 1 + 1277
Step 3: We consider the new divisor 1324 and the new remainder 1277, and apply the division lemma to get
1324 = 1277 x 1 + 47
We consider the new divisor 1277 and the new remainder 47,and apply the division lemma to get
1277 = 47 x 27 + 8
We consider the new divisor 47 and the new remainder 8,and apply the division lemma to get
47 = 8 x 5 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2601 and 9127 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(47,8) = HCF(1277,47) = HCF(1324,1277) = HCF(2601,1324) = HCF(9127,2601) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96208 > 1, we apply the division lemma to 96208 and 1, to get
96208 = 1 x 96208 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96208 is 1
Notice that 1 = HCF(96208,1) .
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Frequently Asked Questions on HCF of 2601, 9127, 96208 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 2601, 9127, 96208?
Answer: HCF of 2601, 9127, 96208 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2601, 9127, 96208 using Euclid's Algorithm?
Answer: For arbitrary numbers 2601, 9127, 96208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.