Highest Common Factor of 865, 635, 55 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 865, 635, 55 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 865, 635, 55 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 865, 635, 55 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 865, 635, 55 is 5.
HCF(865, 635, 55) = 5
HCF of 865, 635, 55 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 865, 635, 55 is 5.
Highest Common Factor of 865,635,55 is 5
Step 1: Since 865 > 635, we apply the division lemma to 865 and 635, to get
865 = 635 x 1 + 230
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 230 and 635, to get
635 = 230 x 2 + 175
Step 3: We consider the new divisor 230 and the new remainder 175, and apply the division lemma to get
230 = 175 x 1 + 55
We consider the new divisor 175 and the new remainder 55,and apply the division lemma to get
175 = 55 x 3 + 10
We consider the new divisor 55 and the new remainder 10,and apply the division lemma to get
55 = 10 x 5 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 865 and 635 is 5
Notice that 5 = HCF(10,5) = HCF(55,10) = HCF(175,55) = HCF(230,175) = HCF(635,230) = HCF(865,635) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55 > 5, we apply the division lemma to 55 and 5, to get
55 = 5 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 55 is 5
Notice that 5 = HCF(55,5) .
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Frequently Asked Questions on HCF of 865, 635, 55 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 865, 635, 55?
Answer: HCF of 865, 635, 55 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 865, 635, 55 using Euclid's Algorithm?
Answer: For arbitrary numbers 865, 635, 55 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.