Highest Common Factor of 787, 4265 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 787, 4265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 787, 4265 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 787, 4265 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 787, 4265 is 1.
HCF(787, 4265) = 1
HCF of 787, 4265 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 787, 4265 is 1.
Highest Common Factor of 787,4265 is 1
Step 1: Since 4265 > 787, we apply the division lemma to 4265 and 787, to get
4265 = 787 x 5 + 330
Step 2: Since the reminder 787 ≠ 0, we apply division lemma to 330 and 787, to get
787 = 330 x 2 + 127
Step 3: We consider the new divisor 330 and the new remainder 127, and apply the division lemma to get
330 = 127 x 2 + 76
We consider the new divisor 127 and the new remainder 76,and apply the division lemma to get
127 = 76 x 1 + 51
We consider the new divisor 76 and the new remainder 51,and apply the division lemma to get
76 = 51 x 1 + 25
We consider the new divisor 51 and the new remainder 25,and apply the division lemma to get
51 = 25 x 2 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 787 and 4265 is 1
Notice that 1 = HCF(25,1) = HCF(51,25) = HCF(76,51) = HCF(127,76) = HCF(330,127) = HCF(787,330) = HCF(4265,787) .
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Frequently Asked Questions on HCF of 787, 4265 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 787, 4265?
Answer: HCF of 787, 4265 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 787, 4265 using Euclid's Algorithm?
Answer: For arbitrary numbers 787, 4265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.