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 6695, 7995, 73448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6695, 7995, 73448 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 6695, 7995, 73448 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 6695, 7995, 73448 is 1.
HCF(6695, 7995, 73448) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6695, 7995, 73448 is 1.
Step 1: Since 7995 > 6695, we apply the division lemma to 7995 and 6695, to get
7995 = 6695 x 1 + 1300
Step 2: Since the reminder 6695 ≠ 0, we apply division lemma to 1300 and 6695, to get
6695 = 1300 x 5 + 195
Step 3: We consider the new divisor 1300 and the new remainder 195, and apply the division lemma to get
1300 = 195 x 6 + 130
We consider the new divisor 195 and the new remainder 130,and apply the division lemma to get
195 = 130 x 1 + 65
We consider the new divisor 130 and the new remainder 65,and apply the division lemma to get
130 = 65 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 65, the HCF of 6695 and 7995 is 65
Notice that 65 = HCF(130,65) = HCF(195,130) = HCF(1300,195) = HCF(6695,1300) = HCF(7995,6695) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73448 > 65, we apply the division lemma to 73448 and 65, to get
73448 = 65 x 1129 + 63
Step 2: Since the reminder 65 ≠ 0, we apply division lemma to 63 and 65, to get
65 = 63 x 1 + 2
Step 3: We consider the new divisor 63 and the new remainder 2, and apply the division lemma to get
63 = 2 x 31 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 65 and 73448 is 1
Notice that 1 = HCF(2,1) = HCF(63,2) = HCF(65,63) = HCF(73448,65) .
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 6695, 7995, 73448?
Answer: HCF of 6695, 7995, 73448 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6695, 7995, 73448 using Euclid's Algorithm?
Answer: For arbitrary numbers 6695, 7995, 73448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.