Highest Common Factor of 390, 695 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 390, 695 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 390, 695 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 390, 695 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 390, 695 is 5.
HCF(390, 695) = 5
HCF of 390, 695 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 390, 695 is 5.
Highest Common Factor of 390,695 is 5
Step 1: Since 695 > 390, we apply the division lemma to 695 and 390, to get
695 = 390 x 1 + 305
Step 2: Since the reminder 390 ≠ 0, we apply division lemma to 305 and 390, to get
390 = 305 x 1 + 85
Step 3: We consider the new divisor 305 and the new remainder 85, and apply the division lemma to get
305 = 85 x 3 + 50
We consider the new divisor 85 and the new remainder 50,and apply the division lemma to get
85 = 50 x 1 + 35
We consider the new divisor 50 and the new remainder 35,and apply the division lemma to get
50 = 35 x 1 + 15
We consider the new divisor 35 and the new remainder 15,and apply the division lemma to get
35 = 15 x 2 + 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 390 and 695 is 5
Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(50,35) = HCF(85,50) = HCF(305,85) = HCF(390,305) = HCF(695,390) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 390, 695 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 390, 695?
Answer: HCF of 390, 695 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 390, 695 using Euclid's Algorithm?
Answer: For arbitrary numbers 390, 695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.