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 1314, 3427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1314, 3427 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 1314, 3427 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 1314, 3427 is 1.
HCF(1314, 3427) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1314, 3427 is 1.
Step 1: Since 3427 > 1314, we apply the division lemma to 3427 and 1314, to get
3427 = 1314 x 2 + 799
Step 2: Since the reminder 1314 ≠ 0, we apply division lemma to 799 and 1314, to get
1314 = 799 x 1 + 515
Step 3: We consider the new divisor 799 and the new remainder 515, and apply the division lemma to get
799 = 515 x 1 + 284
We consider the new divisor 515 and the new remainder 284,and apply the division lemma to get
515 = 284 x 1 + 231
We consider the new divisor 284 and the new remainder 231,and apply the division lemma to get
284 = 231 x 1 + 53
We consider the new divisor 231 and the new remainder 53,and apply the division lemma to get
231 = 53 x 4 + 19
We consider the new divisor 53 and the new remainder 19,and apply the division lemma to get
53 = 19 x 2 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1314 and 3427 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(53,19) = HCF(231,53) = HCF(284,231) = HCF(515,284) = HCF(799,515) = HCF(1314,799) = HCF(3427,1314) .
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 1314, 3427?
Answer: HCF of 1314, 3427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1314, 3427 using Euclid's Algorithm?
Answer: For arbitrary numbers 1314, 3427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.