Highest Common Factor of 985, 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 985, 695 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 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 985, 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 985, 695 is 5.
HCF(985, 695) = 5
HCF of 985, 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 985, 695 is 5.
Highest Common Factor of 985,695 is 5
Step 1: Since 985 > 695, we apply the division lemma to 985 and 695, to get
985 = 695 x 1 + 290
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 290 and 695, to get
695 = 290 x 2 + 115
Step 3: We consider the new divisor 290 and the new remainder 115, and apply the division lemma to get
290 = 115 x 2 + 60
We consider the new divisor 115 and the new remainder 60,and apply the division lemma to get
115 = 60 x 1 + 55
We consider the new divisor 60 and the new remainder 55,and apply the division lemma to get
60 = 55 x 1 + 5
We consider the new divisor 55 and the new remainder 5,and apply the division lemma to get
55 = 5 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 985 and 695 is 5
Notice that 5 = HCF(55,5) = HCF(60,55) = HCF(115,60) = HCF(290,115) = HCF(695,290) = HCF(985,695) .
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Frequently Asked Questions on HCF of 985, 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 985, 695?
Answer: HCF of 985, 695 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 695 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.