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 5763, 7222 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5763, 7222 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 5763, 7222 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 5763, 7222 is 1.
HCF(5763, 7222) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5763, 7222 is 1.
Step 1: Since 7222 > 5763, we apply the division lemma to 7222 and 5763, to get
7222 = 5763 x 1 + 1459
Step 2: Since the reminder 5763 ≠ 0, we apply division lemma to 1459 and 5763, to get
5763 = 1459 x 3 + 1386
Step 3: We consider the new divisor 1459 and the new remainder 1386, and apply the division lemma to get
1459 = 1386 x 1 + 73
We consider the new divisor 1386 and the new remainder 73,and apply the division lemma to get
1386 = 73 x 18 + 72
We consider the new divisor 73 and the new remainder 72,and apply the division lemma to get
73 = 72 x 1 + 1
We consider the new divisor 72 and the new remainder 1,and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5763 and 7222 is 1
Notice that 1 = HCF(72,1) = HCF(73,72) = HCF(1386,73) = HCF(1459,1386) = HCF(5763,1459) = HCF(7222,5763) .
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 5763, 7222?
Answer: HCF of 5763, 7222 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5763, 7222 using Euclid's Algorithm?
Answer: For arbitrary numbers 5763, 7222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.