Highest Common Factor of 1664, 4108 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 1664, 4108 i.e. 52 the largest integer that leaves a remainder zero for all numbers.
HCF of 1664, 4108 is 52 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 1664, 4108 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 1664, 4108 is 52.
HCF(1664, 4108) = 52
HCF of 1664, 4108 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1664, 4108 is 52.
Highest Common Factor of 1664,4108 is 52
Step 1: Since 4108 > 1664, we apply the division lemma to 4108 and 1664, to get
4108 = 1664 x 2 + 780
Step 2: Since the reminder 1664 ≠ 0, we apply division lemma to 780 and 1664, to get
1664 = 780 x 2 + 104
Step 3: We consider the new divisor 780 and the new remainder 104, and apply the division lemma to get
780 = 104 x 7 + 52
We consider the new divisor 104 and the new remainder 52, and apply the division lemma to get
104 = 52 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 1664 and 4108 is 52
Notice that 52 = HCF(104,52) = HCF(780,104) = HCF(1664,780) = HCF(4108,1664) .
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Frequently Asked Questions on HCF of 1664, 4108 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 1664, 4108?
Answer: HCF of 1664, 4108 is 52 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1664, 4108 using Euclid's Algorithm?
Answer: For arbitrary numbers 1664, 4108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.