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 7095, 743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7095, 743 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 7095, 743 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 7095, 743 is 1.
HCF(7095, 743) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7095, 743 is 1.
Step 1: Since 7095 > 743, we apply the division lemma to 7095 and 743, to get
7095 = 743 x 9 + 408
Step 2: Since the reminder 743 ≠ 0, we apply division lemma to 408 and 743, to get
743 = 408 x 1 + 335
Step 3: We consider the new divisor 408 and the new remainder 335, and apply the division lemma to get
408 = 335 x 1 + 73
We consider the new divisor 335 and the new remainder 73,and apply the division lemma to get
335 = 73 x 4 + 43
We consider the new divisor 73 and the new remainder 43,and apply the division lemma to get
73 = 43 x 1 + 30
We consider the new divisor 43 and the new remainder 30,and apply the division lemma to get
43 = 30 x 1 + 13
We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get
30 = 13 x 2 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 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 7095 and 743 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(43,30) = HCF(73,43) = HCF(335,73) = HCF(408,335) = HCF(743,408) = HCF(7095,743) .
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 7095, 743?
Answer: HCF of 7095, 743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7095, 743 using Euclid's Algorithm?
Answer: For arbitrary numbers 7095, 743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.