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 7087, 3447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7087, 3447 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 7087, 3447 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 7087, 3447 is 1.
HCF(7087, 3447) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7087, 3447 is 1.
Step 1: Since 7087 > 3447, we apply the division lemma to 7087 and 3447, to get
7087 = 3447 x 2 + 193
Step 2: Since the reminder 3447 ≠ 0, we apply division lemma to 193 and 3447, to get
3447 = 193 x 17 + 166
Step 3: We consider the new divisor 193 and the new remainder 166, and apply the division lemma to get
193 = 166 x 1 + 27
We consider the new divisor 166 and the new remainder 27,and apply the division lemma to get
166 = 27 x 6 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 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 7087 and 3447 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(166,27) = HCF(193,166) = HCF(3447,193) = HCF(7087,3447) .
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 7087, 3447?
Answer: HCF of 7087, 3447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7087, 3447 using Euclid's Algorithm?
Answer: For arbitrary numbers 7087, 3447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.