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 3750, 1131 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3750, 1131 is 3 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 3750, 1131 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 3750, 1131 is 3.
HCF(3750, 1131) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3750, 1131 is 3.
Step 1: Since 3750 > 1131, we apply the division lemma to 3750 and 1131, to get
3750 = 1131 x 3 + 357
Step 2: Since the reminder 1131 ≠ 0, we apply division lemma to 357 and 1131, to get
1131 = 357 x 3 + 60
Step 3: We consider the new divisor 357 and the new remainder 60, and apply the division lemma to get
357 = 60 x 5 + 57
We consider the new divisor 60 and the new remainder 57,and apply the division lemma to get
60 = 57 x 1 + 3
We consider the new divisor 57 and the new remainder 3,and apply the division lemma to get
57 = 3 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3750 and 1131 is 3
Notice that 3 = HCF(57,3) = HCF(60,57) = HCF(357,60) = HCF(1131,357) = HCF(3750,1131) .
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 3750, 1131?
Answer: HCF of 3750, 1131 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3750, 1131 using Euclid's Algorithm?
Answer: For arbitrary numbers 3750, 1131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.