Highest Common Factor of 935, 680, 632 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 935, 680, 632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 935, 680, 632 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 935, 680, 632 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 935, 680, 632 is 1.
HCF(935, 680, 632) = 1
HCF of 935, 680, 632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 935, 680, 632 is 1.
Highest Common Factor of 935,680,632 is 1
Step 1: Since 935 > 680, we apply the division lemma to 935 and 680, to get
935 = 680 x 1 + 255
Step 2: Since the reminder 680 ≠ 0, we apply division lemma to 255 and 680, to get
680 = 255 x 2 + 170
Step 3: We consider the new divisor 255 and the new remainder 170, and apply the division lemma to get
255 = 170 x 1 + 85
We consider the new divisor 170 and the new remainder 85, and apply the division lemma to get
170 = 85 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 85, the HCF of 935 and 680 is 85
Notice that 85 = HCF(170,85) = HCF(255,170) = HCF(680,255) = HCF(935,680) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 85, we apply the division lemma to 632 and 85, to get
632 = 85 x 7 + 37
Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 37 and 85, to get
85 = 37 x 2 + 11
Step 3: We consider the new divisor 37 and the new remainder 11, and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 85 and 632 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(85,37) = HCF(632,85) .
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Frequently Asked Questions on HCF of 935, 680, 632 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 935, 680, 632?
Answer: HCF of 935, 680, 632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 935, 680, 632 using Euclid's Algorithm?
Answer: For arbitrary numbers 935, 680, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.