Highest Common Factor of 5301, 7780 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 5301, 7780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5301, 7780 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 5301, 7780 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 5301, 7780 is 1.
HCF(5301, 7780) = 1
HCF of 5301, 7780 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5301, 7780 is 1.
Highest Common Factor of 5301,7780 is 1
Step 1: Since 7780 > 5301, we apply the division lemma to 7780 and 5301, to get
7780 = 5301 x 1 + 2479
Step 2: Since the reminder 5301 ≠ 0, we apply division lemma to 2479 and 5301, to get
5301 = 2479 x 2 + 343
Step 3: We consider the new divisor 2479 and the new remainder 343, and apply the division lemma to get
2479 = 343 x 7 + 78
We consider the new divisor 343 and the new remainder 78,and apply the division lemma to get
343 = 78 x 4 + 31
We consider the new divisor 78 and the new remainder 31,and apply the division lemma to get
78 = 31 x 2 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5301 and 7780 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(78,31) = HCF(343,78) = HCF(2479,343) = HCF(5301,2479) = HCF(7780,5301) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5301, 7780 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 5301, 7780?
Answer: HCF of 5301, 7780 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5301, 7780 using Euclid's Algorithm?
Answer: For arbitrary numbers 5301, 7780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.