Highest Common Factor of 970, 695, 700 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 970, 695, 700 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 970, 695, 700 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 970, 695, 700 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 970, 695, 700 is 5.
HCF(970, 695, 700) = 5
HCF of 970, 695, 700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 970, 695, 700 is 5.
Highest Common Factor of 970,695,700 is 5
Step 1: Since 970 > 695, we apply the division lemma to 970 and 695, to get
970 = 695 x 1 + 275
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 275 and 695, to get
695 = 275 x 2 + 145
Step 3: We consider the new divisor 275 and the new remainder 145, and apply the division lemma to get
275 = 145 x 1 + 130
We consider the new divisor 145 and the new remainder 130,and apply the division lemma to get
145 = 130 x 1 + 15
We consider the new divisor 130 and the new remainder 15,and apply the division lemma to get
130 = 15 x 8 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 970 and 695 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(130,15) = HCF(145,130) = HCF(275,145) = HCF(695,275) = HCF(970,695) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 700 > 5, we apply the division lemma to 700 and 5, to get
700 = 5 x 140 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 700 is 5
Notice that 5 = HCF(700,5) .
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Frequently Asked Questions on HCF of 970, 695, 700 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 970, 695, 700?
Answer: HCF of 970, 695, 700 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 970, 695, 700 using Euclid's Algorithm?
Answer: For arbitrary numbers 970, 695, 700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.