Highest Common Factor of 4715, 7205 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 4715, 7205 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4715, 7205 is 5 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 4715, 7205 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 4715, 7205 is 5.
HCF(4715, 7205) = 5
HCF of 4715, 7205 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4715, 7205 is 5.
Highest Common Factor of 4715,7205 is 5
Step 1: Since 7205 > 4715, we apply the division lemma to 7205 and 4715, to get
7205 = 4715 x 1 + 2490
Step 2: Since the reminder 4715 ≠ 0, we apply division lemma to 2490 and 4715, to get
4715 = 2490 x 1 + 2225
Step 3: We consider the new divisor 2490 and the new remainder 2225, and apply the division lemma to get
2490 = 2225 x 1 + 265
We consider the new divisor 2225 and the new remainder 265,and apply the division lemma to get
2225 = 265 x 8 + 105
We consider the new divisor 265 and the new remainder 105,and apply the division lemma to get
265 = 105 x 2 + 55
We consider the new divisor 105 and the new remainder 55,and apply the division lemma to get
105 = 55 x 1 + 50
We consider the new divisor 55 and the new remainder 50,and apply the division lemma to get
55 = 50 x 1 + 5
We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4715 and 7205 is 5
Notice that 5 = HCF(50,5) = HCF(55,50) = HCF(105,55) = HCF(265,105) = HCF(2225,265) = HCF(2490,2225) = HCF(4715,2490) = HCF(7205,4715) .
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Frequently Asked Questions on HCF of 4715, 7205 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 4715, 7205?
Answer: HCF of 4715, 7205 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4715, 7205 using Euclid's Algorithm?
Answer: For arbitrary numbers 4715, 7205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.