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 951, 3481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 3481 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 951, 3481 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 951, 3481 is 1.
HCF(951, 3481) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 3481 is 1.
Step 1: Since 3481 > 951, we apply the division lemma to 3481 and 951, to get
3481 = 951 x 3 + 628
Step 2: Since the reminder 951 ≠ 0, we apply division lemma to 628 and 951, to get
951 = 628 x 1 + 323
Step 3: We consider the new divisor 628 and the new remainder 323, and apply the division lemma to get
628 = 323 x 1 + 305
We consider the new divisor 323 and the new remainder 305,and apply the division lemma to get
323 = 305 x 1 + 18
We consider the new divisor 305 and the new remainder 18,and apply the division lemma to get
305 = 18 x 16 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 951 and 3481 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(305,18) = HCF(323,305) = HCF(628,323) = HCF(951,628) = HCF(3481,951) .
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 951, 3481?
Answer: HCF of 951, 3481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 3481 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 3481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.