Highest Common Factor of 4716, 4177 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 4716, 4177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4716, 4177 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 4716, 4177 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 4716, 4177 is 1.
HCF(4716, 4177) = 1
HCF of 4716, 4177 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4716, 4177 is 1.
Highest Common Factor of 4716,4177 is 1
Step 1: Since 4716 > 4177, we apply the division lemma to 4716 and 4177, to get
4716 = 4177 x 1 + 539
Step 2: Since the reminder 4177 ≠ 0, we apply division lemma to 539 and 4177, to get
4177 = 539 x 7 + 404
Step 3: We consider the new divisor 539 and the new remainder 404, and apply the division lemma to get
539 = 404 x 1 + 135
We consider the new divisor 404 and the new remainder 135,and apply the division lemma to get
404 = 135 x 2 + 134
We consider the new divisor 135 and the new remainder 134,and apply the division lemma to get
135 = 134 x 1 + 1
We consider the new divisor 134 and the new remainder 1,and apply the division lemma to get
134 = 1 x 134 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4716 and 4177 is 1
Notice that 1 = HCF(134,1) = HCF(135,134) = HCF(404,135) = HCF(539,404) = HCF(4177,539) = HCF(4716,4177) .
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Frequently Asked Questions on HCF of 4716, 4177 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 4716, 4177?
Answer: HCF of 4716, 4177 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4716, 4177 using Euclid's Algorithm?
Answer: For arbitrary numbers 4716, 4177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.