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 5054, 9077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5054, 9077 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 5054, 9077 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 5054, 9077 is 1.
HCF(5054, 9077) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5054, 9077 is 1.
Step 1: Since 9077 > 5054, we apply the division lemma to 9077 and 5054, to get
9077 = 5054 x 1 + 4023
Step 2: Since the reminder 5054 ≠ 0, we apply division lemma to 4023 and 5054, to get
5054 = 4023 x 1 + 1031
Step 3: We consider the new divisor 4023 and the new remainder 1031, and apply the division lemma to get
4023 = 1031 x 3 + 930
We consider the new divisor 1031 and the new remainder 930,and apply the division lemma to get
1031 = 930 x 1 + 101
We consider the new divisor 930 and the new remainder 101,and apply the division lemma to get
930 = 101 x 9 + 21
We consider the new divisor 101 and the new remainder 21,and apply the division lemma to get
101 = 21 x 4 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 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 5054 and 9077 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(101,21) = HCF(930,101) = HCF(1031,930) = HCF(4023,1031) = HCF(5054,4023) = HCF(9077,5054) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5054, 9077?
Answer: HCF of 5054, 9077 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5054, 9077 using Euclid's Algorithm?
Answer: For arbitrary numbers 5054, 9077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.