Highest Common Factor of 7672, 2297, 57763 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 7672, 2297, 57763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7672, 2297, 57763 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 7672, 2297, 57763 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 7672, 2297, 57763 is 1.
HCF(7672, 2297, 57763) = 1
HCF of 7672, 2297, 57763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7672, 2297, 57763 is 1.
Highest Common Factor of 7672,2297,57763 is 1
Step 1: Since 7672 > 2297, we apply the division lemma to 7672 and 2297, to get
7672 = 2297 x 3 + 781
Step 2: Since the reminder 2297 ≠ 0, we apply division lemma to 781 and 2297, to get
2297 = 781 x 2 + 735
Step 3: We consider the new divisor 781 and the new remainder 735, and apply the division lemma to get
781 = 735 x 1 + 46
We consider the new divisor 735 and the new remainder 46,and apply the division lemma to get
735 = 46 x 15 + 45
We consider the new divisor 46 and the new remainder 45,and apply the division lemma to get
46 = 45 x 1 + 1
We consider the new divisor 45 and the new remainder 1,and apply the division lemma to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7672 and 2297 is 1
Notice that 1 = HCF(45,1) = HCF(46,45) = HCF(735,46) = HCF(781,735) = HCF(2297,781) = HCF(7672,2297) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57763 > 1, we apply the division lemma to 57763 and 1, to get
57763 = 1 x 57763 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57763 is 1
Notice that 1 = HCF(57763,1) .
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Frequently Asked Questions on HCF of 7672, 2297, 57763 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 7672, 2297, 57763?
Answer: HCF of 7672, 2297, 57763 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7672, 2297, 57763 using Euclid's Algorithm?
Answer: For arbitrary numbers 7672, 2297, 57763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.