Highest Common Factor of 6655, 3872 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 6655, 3872 i.e. 121 the largest integer that leaves a remainder zero for all numbers.
HCF of 6655, 3872 is 121 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 6655, 3872 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 6655, 3872 is 121.
HCF(6655, 3872) = 121
HCF of 6655, 3872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6655, 3872 is 121.
Highest Common Factor of 6655,3872 is 121
Step 1: Since 6655 > 3872, we apply the division lemma to 6655 and 3872, to get
6655 = 3872 x 1 + 2783
Step 2: Since the reminder 3872 ≠ 0, we apply division lemma to 2783 and 3872, to get
3872 = 2783 x 1 + 1089
Step 3: We consider the new divisor 2783 and the new remainder 1089, and apply the division lemma to get
2783 = 1089 x 2 + 605
We consider the new divisor 1089 and the new remainder 605,and apply the division lemma to get
1089 = 605 x 1 + 484
We consider the new divisor 605 and the new remainder 484,and apply the division lemma to get
605 = 484 x 1 + 121
We consider the new divisor 484 and the new remainder 121,and apply the division lemma to get
484 = 121 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 121, the HCF of 6655 and 3872 is 121
Notice that 121 = HCF(484,121) = HCF(605,484) = HCF(1089,605) = HCF(2783,1089) = HCF(3872,2783) = HCF(6655,3872) .
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Frequently Asked Questions on HCF of 6655, 3872 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 6655, 3872?
Answer: HCF of 6655, 3872 is 121 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6655, 3872 using Euclid's Algorithm?
Answer: For arbitrary numbers 6655, 3872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.