Highest Common Factor of 7725, 4716 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 7725, 4716 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7725, 4716 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 7725, 4716 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 7725, 4716 is 3.
HCF(7725, 4716) = 3
HCF of 7725, 4716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7725, 4716 is 3.
Highest Common Factor of 7725,4716 is 3
Step 1: Since 7725 > 4716, we apply the division lemma to 7725 and 4716, to get
7725 = 4716 x 1 + 3009
Step 2: Since the reminder 4716 ≠ 0, we apply division lemma to 3009 and 4716, to get
4716 = 3009 x 1 + 1707
Step 3: We consider the new divisor 3009 and the new remainder 1707, and apply the division lemma to get
3009 = 1707 x 1 + 1302
We consider the new divisor 1707 and the new remainder 1302,and apply the division lemma to get
1707 = 1302 x 1 + 405
We consider the new divisor 1302 and the new remainder 405,and apply the division lemma to get
1302 = 405 x 3 + 87
We consider the new divisor 405 and the new remainder 87,and apply the division lemma to get
405 = 87 x 4 + 57
We consider the new divisor 87 and the new remainder 57,and apply the division lemma to get
87 = 57 x 1 + 30
We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get
57 = 30 x 1 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7725 and 4716 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(87,57) = HCF(405,87) = HCF(1302,405) = HCF(1707,1302) = HCF(3009,1707) = HCF(4716,3009) = HCF(7725,4716) .
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Frequently Asked Questions on HCF of 7725, 4716 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 7725, 4716?
Answer: HCF of 7725, 4716 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7725, 4716 using Euclid's Algorithm?
Answer: For arbitrary numbers 7725, 4716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.