Highest Common Factor of 827, 935 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 827, 935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 935 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 827, 935 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 827, 935 is 1.
HCF(827, 935) = 1
HCF of 827, 935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 827, 935 is 1.
Highest Common Factor of 827,935 is 1
Step 1: Since 935 > 827, we apply the division lemma to 935 and 827, to get
935 = 827 x 1 + 108
Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 108 and 827, to get
827 = 108 x 7 + 71
Step 3: We consider the new divisor 108 and the new remainder 71, and apply the division lemma to get
108 = 71 x 1 + 37
We consider the new divisor 71 and the new remainder 37,and apply the division lemma to get
71 = 37 x 1 + 34
We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get
37 = 34 x 1 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 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 827 and 935 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(71,37) = HCF(108,71) = HCF(827,108) = HCF(935,827) .
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Frequently Asked Questions on HCF of 827, 935 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 827, 935?
Answer: HCF of 827, 935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 935 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.