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 1320, 5263, 52897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1320, 5263, 52897 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 1320, 5263, 52897 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 1320, 5263, 52897 is 1.
HCF(1320, 5263, 52897) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1320, 5263, 52897 is 1.
Step 1: Since 5263 > 1320, we apply the division lemma to 5263 and 1320, to get
5263 = 1320 x 3 + 1303
Step 2: Since the reminder 1320 ≠ 0, we apply division lemma to 1303 and 1320, to get
1320 = 1303 x 1 + 17
Step 3: We consider the new divisor 1303 and the new remainder 17, and apply the division lemma to get
1303 = 17 x 76 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1320 and 5263 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(1303,17) = HCF(1320,1303) = HCF(5263,1320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52897 > 1, we apply the division lemma to 52897 and 1, to get
52897 = 1 x 52897 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52897 is 1
Notice that 1 = HCF(52897,1) .
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 1320, 5263, 52897?
Answer: HCF of 1320, 5263, 52897 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1320, 5263, 52897 using Euclid's Algorithm?
Answer: For arbitrary numbers 1320, 5263, 52897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.