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 3734, 6346 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3734, 6346 is 2 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 3734, 6346 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 3734, 6346 is 2.
HCF(3734, 6346) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3734, 6346 is 2.
Step 1: Since 6346 > 3734, we apply the division lemma to 6346 and 3734, to get
6346 = 3734 x 1 + 2612
Step 2: Since the reminder 3734 ≠ 0, we apply division lemma to 2612 and 3734, to get
3734 = 2612 x 1 + 1122
Step 3: We consider the new divisor 2612 and the new remainder 1122, and apply the division lemma to get
2612 = 1122 x 2 + 368
We consider the new divisor 1122 and the new remainder 368,and apply the division lemma to get
1122 = 368 x 3 + 18
We consider the new divisor 368 and the new remainder 18,and apply the division lemma to get
368 = 18 x 20 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3734 and 6346 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(368,18) = HCF(1122,368) = HCF(2612,1122) = HCF(3734,2612) = HCF(6346,3734) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3734, 6346?
Answer: HCF of 3734, 6346 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3734, 6346 using Euclid's Algorithm?
Answer: For arbitrary numbers 3734, 6346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.