Highest Common Factor of 3691, 6004 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 3691, 6004 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3691, 6004 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 3691, 6004 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 3691, 6004 is 1.
HCF(3691, 6004) = 1
HCF of 3691, 6004 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3691, 6004 is 1.
Highest Common Factor of 3691,6004 is 1
Step 1: Since 6004 > 3691, we apply the division lemma to 6004 and 3691, to get
6004 = 3691 x 1 + 2313
Step 2: Since the reminder 3691 ≠ 0, we apply division lemma to 2313 and 3691, to get
3691 = 2313 x 1 + 1378
Step 3: We consider the new divisor 2313 and the new remainder 1378, and apply the division lemma to get
2313 = 1378 x 1 + 935
We consider the new divisor 1378 and the new remainder 935,and apply the division lemma to get
1378 = 935 x 1 + 443
We consider the new divisor 935 and the new remainder 443,and apply the division lemma to get
935 = 443 x 2 + 49
We consider the new divisor 443 and the new remainder 49,and apply the division lemma to get
443 = 49 x 9 + 2
We consider the new divisor 49 and the new remainder 2,and apply the division lemma to get
49 = 2 x 24 + 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 3691 and 6004 is 1
Notice that 1 = HCF(2,1) = HCF(49,2) = HCF(443,49) = HCF(935,443) = HCF(1378,935) = HCF(2313,1378) = HCF(3691,2313) = HCF(6004,3691) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3691, 6004 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 3691, 6004?
Answer: HCF of 3691, 6004 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3691, 6004 using Euclid's Algorithm?
Answer: For arbitrary numbers 3691, 6004 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
