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 3035, 1768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3035, 1768 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 3035, 1768 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 3035, 1768 is 1.
HCF(3035, 1768) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3035, 1768 is 1.
Step 1: Since 3035 > 1768, we apply the division lemma to 3035 and 1768, to get
3035 = 1768 x 1 + 1267
Step 2: Since the reminder 1768 ≠ 0, we apply division lemma to 1267 and 1768, to get
1768 = 1267 x 1 + 501
Step 3: We consider the new divisor 1267 and the new remainder 501, and apply the division lemma to get
1267 = 501 x 2 + 265
We consider the new divisor 501 and the new remainder 265,and apply the division lemma to get
501 = 265 x 1 + 236
We consider the new divisor 265 and the new remainder 236,and apply the division lemma to get
265 = 236 x 1 + 29
We consider the new divisor 236 and the new remainder 29,and apply the division lemma to get
236 = 29 x 8 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 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 3035 and 1768 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(236,29) = HCF(265,236) = HCF(501,265) = HCF(1267,501) = HCF(1768,1267) = HCF(3035,1768) .
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 3035, 1768?
Answer: HCF of 3035, 1768 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3035, 1768 using Euclid's Algorithm?
Answer: For arbitrary numbers 3035, 1768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.