Highest Common Factor of 701, 435, 977 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 701, 435, 977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 435, 977 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 701, 435, 977 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 701, 435, 977 is 1.
HCF(701, 435, 977) = 1
HCF of 701, 435, 977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 435, 977 is 1.
Highest Common Factor of 701,435,977 is 1
Step 1: Since 701 > 435, we apply the division lemma to 701 and 435, to get
701 = 435 x 1 + 266
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 266 and 435, to get
435 = 266 x 1 + 169
Step 3: We consider the new divisor 266 and the new remainder 169, and apply the division lemma to get
266 = 169 x 1 + 97
We consider the new divisor 169 and the new remainder 97,and apply the division lemma to get
169 = 97 x 1 + 72
We consider the new divisor 97 and the new remainder 72,and apply the division lemma to get
97 = 72 x 1 + 25
We consider the new divisor 72 and the new remainder 25,and apply the division lemma to get
72 = 25 x 2 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 435 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(72,25) = HCF(97,72) = HCF(169,97) = HCF(266,169) = HCF(435,266) = HCF(701,435) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 977 > 1, we apply the division lemma to 977 and 1, to get
977 = 1 x 977 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 977 is 1
Notice that 1 = HCF(977,1) .
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Frequently Asked Questions on HCF of 701, 435, 977 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 701, 435, 977?
Answer: HCF of 701, 435, 977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 435, 977 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 435, 977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
