Highest Common Factor of 697, 979, 741, 70 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 697, 979, 741, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 697, 979, 741, 70 is 1 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 697, 979, 741, 70 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 697, 979, 741, 70 is 1.
HCF(697, 979, 741, 70) = 1
HCF of 697, 979, 741, 70 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 697, 979, 741, 70 is 1.
Highest Common Factor of 697,979,741,70 is 1
Step 1: Since 979 > 697, we apply the division lemma to 979 and 697, to get
979 = 697 x 1 + 282
Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 282 and 697, to get
697 = 282 x 2 + 133
Step 3: We consider the new divisor 282 and the new remainder 133, and apply the division lemma to get
282 = 133 x 2 + 16
We consider the new divisor 133 and the new remainder 16,and apply the division lemma to get
133 = 16 x 8 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 697 and 979 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(133,16) = HCF(282,133) = HCF(697,282) = HCF(979,697) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 741 > 1, we apply the division lemma to 741 and 1, to get
741 = 1 x 741 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 741 is 1
Notice that 1 = HCF(741,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1
Notice that 1 = HCF(70,1) .
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Frequently Asked Questions on HCF of 697, 979, 741, 70 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 697, 979, 741, 70?
Answer: HCF of 697, 979, 741, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 697, 979, 741, 70 using Euclid's Algorithm?
Answer: For arbitrary numbers 697, 979, 741, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.