Highest Common Factor of 2790, 3782 using Euclid's algorithm
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 2790, 3782 i.e. 62 the largest integer that leaves a remainder zero for all numbers.
HCF of 2790, 3782 is 62 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 2790, 3782 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 2790, 3782 is 62.
HCF(2790, 3782) = 62
HCF of 2790, 3782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2790, 3782 is 62.
Highest Common Factor of 2790,3782 is 62
Step 1: Since 3782 > 2790, we apply the division lemma to 3782 and 2790, to get
3782 = 2790 x 1 + 992
Step 2: Since the reminder 2790 ≠ 0, we apply division lemma to 992 and 2790, to get
2790 = 992 x 2 + 806
Step 3: We consider the new divisor 992 and the new remainder 806, and apply the division lemma to get
992 = 806 x 1 + 186
We consider the new divisor 806 and the new remainder 186,and apply the division lemma to get
806 = 186 x 4 + 62
We consider the new divisor 186 and the new remainder 62,and apply the division lemma to get
186 = 62 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 62, the HCF of 2790 and 3782 is 62
Notice that 62 = HCF(186,62) = HCF(806,186) = HCF(992,806) = HCF(2790,992) = HCF(3782,2790) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2790, 3782 using Euclid's Algorithm
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 2790, 3782?
Answer: HCF of 2790, 3782 is 62 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2790, 3782 using Euclid's Algorithm?
Answer: For arbitrary numbers 2790, 3782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.