Highest Common Factor of 655, 4475 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 655, 4475 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 4475 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 655, 4475 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 655, 4475 is 5.
HCF(655, 4475) = 5
HCF of 655, 4475 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 4475 is 5.
Highest Common Factor of 655,4475 is 5
Step 1: Since 4475 > 655, we apply the division lemma to 4475 and 655, to get
4475 = 655 x 6 + 545
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 545 and 655, to get
655 = 545 x 1 + 110
Step 3: We consider the new divisor 545 and the new remainder 110, and apply the division lemma to get
545 = 110 x 4 + 105
We consider the new divisor 110 and the new remainder 105,and apply the division lemma to get
110 = 105 x 1 + 5
We consider the new divisor 105 and the new remainder 5,and apply the division lemma to get
105 = 5 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 655 and 4475 is 5
Notice that 5 = HCF(105,5) = HCF(110,105) = HCF(545,110) = HCF(655,545) = HCF(4475,655) .
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Frequently Asked Questions on HCF of 655, 4475 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 655, 4475?
Answer: HCF of 655, 4475 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 4475 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 4475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.