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 3152, 7355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3152, 7355 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 3152, 7355 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 3152, 7355 is 1.
HCF(3152, 7355) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3152, 7355 is 1.
Step 1: Since 7355 > 3152, we apply the division lemma to 7355 and 3152, to get
7355 = 3152 x 2 + 1051
Step 2: Since the reminder 3152 ≠ 0, we apply division lemma to 1051 and 3152, to get
3152 = 1051 x 2 + 1050
Step 3: We consider the new divisor 1051 and the new remainder 1050, and apply the division lemma to get
1051 = 1050 x 1 + 1
We consider the new divisor 1050 and the new remainder 1, and apply the division lemma to get
1050 = 1 x 1050 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3152 and 7355 is 1
Notice that 1 = HCF(1050,1) = HCF(1051,1050) = HCF(3152,1051) = HCF(7355,3152) .
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 3152, 7355?
Answer: HCF of 3152, 7355 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3152, 7355 using Euclid's Algorithm?
Answer: For arbitrary numbers 3152, 7355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.