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 395, 651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 395, 651 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 395, 651 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 395, 651 is 1.
HCF(395, 651) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 395, 651 is 1.
Step 1: Since 651 > 395, we apply the division lemma to 651 and 395, to get
651 = 395 x 1 + 256
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 256 and 395, to get
395 = 256 x 1 + 139
Step 3: We consider the new divisor 256 and the new remainder 139, and apply the division lemma to get
256 = 139 x 1 + 117
We consider the new divisor 139 and the new remainder 117,and apply the division lemma to get
139 = 117 x 1 + 22
We consider the new divisor 117 and the new remainder 22,and apply the division lemma to get
117 = 22 x 5 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 395 and 651 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(117,22) = HCF(139,117) = HCF(256,139) = HCF(395,256) = HCF(651,395) .
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 395, 651?
Answer: HCF of 395, 651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 395, 651 using Euclid's Algorithm?
Answer: For arbitrary numbers 395, 651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.