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 7852, 2751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7852, 2751 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 7852, 2751 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 7852, 2751 is 1.
HCF(7852, 2751) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7852, 2751 is 1.
Step 1: Since 7852 > 2751, we apply the division lemma to 7852 and 2751, to get
7852 = 2751 x 2 + 2350
Step 2: Since the reminder 2751 ≠ 0, we apply division lemma to 2350 and 2751, to get
2751 = 2350 x 1 + 401
Step 3: We consider the new divisor 2350 and the new remainder 401, and apply the division lemma to get
2350 = 401 x 5 + 345
We consider the new divisor 401 and the new remainder 345,and apply the division lemma to get
401 = 345 x 1 + 56
We consider the new divisor 345 and the new remainder 56,and apply the division lemma to get
345 = 56 x 6 + 9
We consider the new divisor 56 and the new remainder 9,and apply the division lemma to get
56 = 9 x 6 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 7852 and 2751 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(56,9) = HCF(345,56) = HCF(401,345) = HCF(2350,401) = HCF(2751,2350) = HCF(7852,2751) .
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 7852, 2751?
Answer: HCF of 7852, 2751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7852, 2751 using Euclid's Algorithm?
Answer: For arbitrary numbers 7852, 2751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.