Highest Common Factor of 295, 3720 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 295, 3720 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 295, 3720 is 5 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 295, 3720 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 295, 3720 is 5.
HCF(295, 3720) = 5
HCF of 295, 3720 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 295, 3720 is 5.
Highest Common Factor of 295,3720 is 5
Step 1: Since 3720 > 295, we apply the division lemma to 3720 and 295, to get
3720 = 295 x 12 + 180
Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 180 and 295, to get
295 = 180 x 1 + 115
Step 3: We consider the new divisor 180 and the new remainder 115, and apply the division lemma to get
180 = 115 x 1 + 65
We consider the new divisor 115 and the new remainder 65,and apply the division lemma to get
115 = 65 x 1 + 50
We consider the new divisor 65 and the new remainder 50,and apply the division lemma to get
65 = 50 x 1 + 15
We consider the new divisor 50 and the new remainder 15,and apply the division lemma to get
50 = 15 x 3 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 295 and 3720 is 5
Notice that 5 = HCF(15,5) = HCF(50,15) = HCF(65,50) = HCF(115,65) = HCF(180,115) = HCF(295,180) = HCF(3720,295) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 295, 3720 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 295, 3720?
Answer: HCF of 295, 3720 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 295, 3720 using Euclid's Algorithm?
Answer: For arbitrary numbers 295, 3720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.