Highest Common Factor of 6001, 7377 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 6001, 7377 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6001, 7377 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 6001, 7377 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 6001, 7377 is 1.
HCF(6001, 7377) = 1
HCF of 6001, 7377 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6001, 7377 is 1.
Highest Common Factor of 6001,7377 is 1
Step 1: Since 7377 > 6001, we apply the division lemma to 7377 and 6001, to get
7377 = 6001 x 1 + 1376
Step 2: Since the reminder 6001 ≠ 0, we apply division lemma to 1376 and 6001, to get
6001 = 1376 x 4 + 497
Step 3: We consider the new divisor 1376 and the new remainder 497, and apply the division lemma to get
1376 = 497 x 2 + 382
We consider the new divisor 497 and the new remainder 382,and apply the division lemma to get
497 = 382 x 1 + 115
We consider the new divisor 382 and the new remainder 115,and apply the division lemma to get
382 = 115 x 3 + 37
We consider the new divisor 115 and the new remainder 37,and apply the division lemma to get
115 = 37 x 3 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6001 and 7377 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(115,37) = HCF(382,115) = HCF(497,382) = HCF(1376,497) = HCF(6001,1376) = HCF(7377,6001) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6001, 7377 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 6001, 7377?
Answer: HCF of 6001, 7377 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6001, 7377 using Euclid's Algorithm?
Answer: For arbitrary numbers 6001, 7377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.