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 3055, 7927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3055, 7927 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 3055, 7927 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 3055, 7927 is 1.
HCF(3055, 7927) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3055, 7927 is 1.
Step 1: Since 7927 > 3055, we apply the division lemma to 7927 and 3055, to get
7927 = 3055 x 2 + 1817
Step 2: Since the reminder 3055 ≠ 0, we apply division lemma to 1817 and 3055, to get
3055 = 1817 x 1 + 1238
Step 3: We consider the new divisor 1817 and the new remainder 1238, and apply the division lemma to get
1817 = 1238 x 1 + 579
We consider the new divisor 1238 and the new remainder 579,and apply the division lemma to get
1238 = 579 x 2 + 80
We consider the new divisor 579 and the new remainder 80,and apply the division lemma to get
579 = 80 x 7 + 19
We consider the new divisor 80 and the new remainder 19,and apply the division lemma to get
80 = 19 x 4 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3055 and 7927 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(80,19) = HCF(579,80) = HCF(1238,579) = HCF(1817,1238) = HCF(3055,1817) = HCF(7927,3055) .
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 3055, 7927?
Answer: HCF of 3055, 7927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3055, 7927 using Euclid's Algorithm?
Answer: For arbitrary numbers 3055, 7927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.