Highest Common Factor of 4048, 4465 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 4048, 4465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4048, 4465 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 4048, 4465 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 4048, 4465 is 1.
HCF(4048, 4465) = 1
HCF of 4048, 4465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4048, 4465 is 1.
Highest Common Factor of 4048,4465 is 1
Step 1: Since 4465 > 4048, we apply the division lemma to 4465 and 4048, to get
4465 = 4048 x 1 + 417
Step 2: Since the reminder 4048 ≠ 0, we apply division lemma to 417 and 4048, to get
4048 = 417 x 9 + 295
Step 3: We consider the new divisor 417 and the new remainder 295, and apply the division lemma to get
417 = 295 x 1 + 122
We consider the new divisor 295 and the new remainder 122,and apply the division lemma to get
295 = 122 x 2 + 51
We consider the new divisor 122 and the new remainder 51,and apply the division lemma to get
122 = 51 x 2 + 20
We consider the new divisor 51 and the new remainder 20,and apply the division lemma to get
51 = 20 x 2 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4048 and 4465 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(51,20) = HCF(122,51) = HCF(295,122) = HCF(417,295) = HCF(4048,417) = HCF(4465,4048) .
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Frequently Asked Questions on HCF of 4048, 4465 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 4048, 4465?
Answer: HCF of 4048, 4465 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4048, 4465 using Euclid's Algorithm?
Answer: For arbitrary numbers 4048, 4465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
