Highest Common Factor of 953, 670, 770 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 953, 670, 770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 670, 770 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 953, 670, 770 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 953, 670, 770 is 1.
HCF(953, 670, 770) = 1
HCF of 953, 670, 770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 953, 670, 770 is 1.
Highest Common Factor of 953,670,770 is 1
Step 1: Since 953 > 670, we apply the division lemma to 953 and 670, to get
953 = 670 x 1 + 283
Step 2: Since the reminder 670 ≠ 0, we apply division lemma to 283 and 670, to get
670 = 283 x 2 + 104
Step 3: We consider the new divisor 283 and the new remainder 104, and apply the division lemma to get
283 = 104 x 2 + 75
We consider the new divisor 104 and the new remainder 75,and apply the division lemma to get
104 = 75 x 1 + 29
We consider the new divisor 75 and the new remainder 29,and apply the division lemma to get
75 = 29 x 2 + 17
We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get
29 = 17 x 1 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 953 and 670 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(75,29) = HCF(104,75) = HCF(283,104) = HCF(670,283) = HCF(953,670) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 770 > 1, we apply the division lemma to 770 and 1, to get
770 = 1 x 770 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 770 is 1
Notice that 1 = HCF(770,1) .
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Frequently Asked Questions on HCF of 953, 670, 770 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 953, 670, 770?
Answer: HCF of 953, 670, 770 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 670, 770 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 670, 770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.