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 5323, 7730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5323, 7730 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 5323, 7730 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 5323, 7730 is 1.
HCF(5323, 7730) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5323, 7730 is 1.
Step 1: Since 7730 > 5323, we apply the division lemma to 7730 and 5323, to get
7730 = 5323 x 1 + 2407
Step 2: Since the reminder 5323 ≠ 0, we apply division lemma to 2407 and 5323, to get
5323 = 2407 x 2 + 509
Step 3: We consider the new divisor 2407 and the new remainder 509, and apply the division lemma to get
2407 = 509 x 4 + 371
We consider the new divisor 509 and the new remainder 371,and apply the division lemma to get
509 = 371 x 1 + 138
We consider the new divisor 371 and the new remainder 138,and apply the division lemma to get
371 = 138 x 2 + 95
We consider the new divisor 138 and the new remainder 95,and apply the division lemma to get
138 = 95 x 1 + 43
We consider the new divisor 95 and the new remainder 43,and apply the division lemma to get
95 = 43 x 2 + 9
We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get
43 = 9 x 4 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5323 and 7730 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(95,43) = HCF(138,95) = HCF(371,138) = HCF(509,371) = HCF(2407,509) = HCF(5323,2407) = HCF(7730,5323) .
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 5323, 7730?
Answer: HCF of 5323, 7730 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5323, 7730 using Euclid's Algorithm?
Answer: For arbitrary numbers 5323, 7730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.