Highest Common Factor of 935, 770, 635 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, 770, 635 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 935, 770, 635 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 935, 770, 635 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, 770, 635 is 5.
HCF(935, 770, 635) = 5
HCF of 935, 770, 635 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, 770, 635 is 5.
Highest Common Factor of 935,770,635 is 5
Step 1: Since 935 > 770, we apply the division lemma to 935 and 770, to get
935 = 770 x 1 + 165
Step 2: Since the reminder 770 ≠ 0, we apply division lemma to 165 and 770, to get
770 = 165 x 4 + 110
Step 3: We consider the new divisor 165 and the new remainder 110, and apply the division lemma to get
165 = 110 x 1 + 55
We consider the new divisor 110 and the new remainder 55, and apply the division lemma to get
110 = 55 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 935 and 770 is 55
Notice that 55 = HCF(110,55) = HCF(165,110) = HCF(770,165) = HCF(935,770) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 55, we apply the division lemma to 635 and 55, to get
635 = 55 x 11 + 30
Step 2: Since the reminder 55 ≠ 0, we apply division lemma to 30 and 55, to get
55 = 30 x 1 + 25
Step 3: We consider the new divisor 30 and the new remainder 25, and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5, and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 55 and 635 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(55,30) = HCF(635,55) .
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Frequently Asked Questions on HCF of 935, 770, 635 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, 770, 635?
Answer: HCF of 935, 770, 635 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 935, 770, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 935, 770, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.