Highest Common Factor of 3878, 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 3878, 1077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3878, 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 3878, 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 3878, 1077 is 1.
HCF(3878, 1077) = 1
HCF of 3878, 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 3878, 1077 is 1.
Highest Common Factor of 3878,1077 is 1
Step 1: Since 3878 > 1077, we apply the division lemma to 3878 and 1077, to get
3878 = 1077 x 3 + 647
Step 2: Since the reminder 1077 ≠ 0, we apply division lemma to 647 and 1077, to get
1077 = 647 x 1 + 430
Step 3: We consider the new divisor 647 and the new remainder 430, and apply the division lemma to get
647 = 430 x 1 + 217
We consider the new divisor 430 and the new remainder 217,and apply the division lemma to get
430 = 217 x 1 + 213
We consider the new divisor 217 and the new remainder 213,and apply the division lemma to get
217 = 213 x 1 + 4
We consider the new divisor 213 and the new remainder 4,and apply the division lemma to get
213 = 4 x 53 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3878 and 1077 is 1
Notice that 1 = HCF(4,1) = HCF(213,4) = HCF(217,213) = HCF(430,217) = HCF(647,430) = HCF(1077,647) = HCF(3878,1077) .
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Frequently Asked Questions on HCF of 3878, 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 3878, 1077?
Answer: HCF of 3878, 1077 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3878, 1077 using Euclid's Algorithm?
Answer: For arbitrary numbers 3878, 1077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.