Highest Common Factor of 639, 3616, 1077 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 639, 3616, 1077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 639, 3616, 1077 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 639, 3616, 1077 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 639, 3616, 1077 is 1.
HCF(639, 3616, 1077) = 1
HCF of 639, 3616, 1077 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 639, 3616, 1077 is 1.
Highest Common Factor of 639,3616,1077 is 1
Step 1: Since 3616 > 639, we apply the division lemma to 3616 and 639, to get
3616 = 639 x 5 + 421
Step 2: Since the reminder 639 ≠ 0, we apply division lemma to 421 and 639, to get
639 = 421 x 1 + 218
Step 3: We consider the new divisor 421 and the new remainder 218, and apply the division lemma to get
421 = 218 x 1 + 203
We consider the new divisor 218 and the new remainder 203,and apply the division lemma to get
218 = 203 x 1 + 15
We consider the new divisor 203 and the new remainder 15,and apply the division lemma to get
203 = 15 x 13 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 639 and 3616 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(203,15) = HCF(218,203) = HCF(421,218) = HCF(639,421) = HCF(3616,639) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1077 > 1, we apply the division lemma to 1077 and 1, to get
1077 = 1 x 1077 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1077 is 1
Notice that 1 = HCF(1077,1) .
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Frequently Asked Questions on HCF of 639, 3616, 1077 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 639, 3616, 1077?
Answer: HCF of 639, 3616, 1077 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 639, 3616, 1077 using Euclid's Algorithm?
Answer: For arbitrary numbers 639, 3616, 1077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.