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 3670, 9344 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3670, 9344 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 3670, 9344 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 3670, 9344 is 2.
HCF(3670, 9344) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3670, 9344 is 2.
Step 1: Since 9344 > 3670, we apply the division lemma to 9344 and 3670, to get
9344 = 3670 x 2 + 2004
Step 2: Since the reminder 3670 ≠ 0, we apply division lemma to 2004 and 3670, to get
3670 = 2004 x 1 + 1666
Step 3: We consider the new divisor 2004 and the new remainder 1666, and apply the division lemma to get
2004 = 1666 x 1 + 338
We consider the new divisor 1666 and the new remainder 338,and apply the division lemma to get
1666 = 338 x 4 + 314
We consider the new divisor 338 and the new remainder 314,and apply the division lemma to get
338 = 314 x 1 + 24
We consider the new divisor 314 and the new remainder 24,and apply the division lemma to get
314 = 24 x 13 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3670 and 9344 is 2
Notice that 2 = HCF(24,2) = HCF(314,24) = HCF(338,314) = HCF(1666,338) = HCF(2004,1666) = HCF(3670,2004) = HCF(9344,3670) .
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 3670, 9344?
Answer: HCF of 3670, 9344 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3670, 9344 using Euclid's Algorithm?
Answer: For arbitrary numbers 3670, 9344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.