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 7002, 3851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7002, 3851 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 7002, 3851 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 7002, 3851 is 1.
HCF(7002, 3851) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7002, 3851 is 1.
Step 1: Since 7002 > 3851, we apply the division lemma to 7002 and 3851, to get
7002 = 3851 x 1 + 3151
Step 2: Since the reminder 3851 ≠ 0, we apply division lemma to 3151 and 3851, to get
3851 = 3151 x 1 + 700
Step 3: We consider the new divisor 3151 and the new remainder 700, and apply the division lemma to get
3151 = 700 x 4 + 351
We consider the new divisor 700 and the new remainder 351,and apply the division lemma to get
700 = 351 x 1 + 349
We consider the new divisor 351 and the new remainder 349,and apply the division lemma to get
351 = 349 x 1 + 2
We consider the new divisor 349 and the new remainder 2,and apply the division lemma to get
349 = 2 x 174 + 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 7002 and 3851 is 1
Notice that 1 = HCF(2,1) = HCF(349,2) = HCF(351,349) = HCF(700,351) = HCF(3151,700) = HCF(3851,3151) = HCF(7002,3851) .
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 7002, 3851?
Answer: HCF of 7002, 3851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7002, 3851 using Euclid's Algorithm?
Answer: For arbitrary numbers 7002, 3851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.