Highest Common Factor of 6520, 1213 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 6520, 1213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6520, 1213 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 6520, 1213 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 6520, 1213 is 1.
HCF(6520, 1213) = 1
HCF of 6520, 1213 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6520, 1213 is 1.
Highest Common Factor of 6520,1213 is 1
Step 1: Since 6520 > 1213, we apply the division lemma to 6520 and 1213, to get
6520 = 1213 x 5 + 455
Step 2: Since the reminder 1213 ≠ 0, we apply division lemma to 455 and 1213, to get
1213 = 455 x 2 + 303
Step 3: We consider the new divisor 455 and the new remainder 303, and apply the division lemma to get
455 = 303 x 1 + 152
We consider the new divisor 303 and the new remainder 152,and apply the division lemma to get
303 = 152 x 1 + 151
We consider the new divisor 152 and the new remainder 151,and apply the division lemma to get
152 = 151 x 1 + 1
We consider the new divisor 151 and the new remainder 1,and apply the division lemma to get
151 = 1 x 151 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6520 and 1213 is 1
Notice that 1 = HCF(151,1) = HCF(152,151) = HCF(303,152) = HCF(455,303) = HCF(1213,455) = HCF(6520,1213) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6520, 1213 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 6520, 1213?
Answer: HCF of 6520, 1213 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6520, 1213 using Euclid's Algorithm?
Answer: For arbitrary numbers 6520, 1213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
