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 1253, 9880 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1253, 9880 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 1253, 9880 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 1253, 9880 is 1.
HCF(1253, 9880) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1253, 9880 is 1.
Step 1: Since 9880 > 1253, we apply the division lemma to 9880 and 1253, to get
9880 = 1253 x 7 + 1109
Step 2: Since the reminder 1253 ≠ 0, we apply division lemma to 1109 and 1253, to get
1253 = 1109 x 1 + 144
Step 3: We consider the new divisor 1109 and the new remainder 144, and apply the division lemma to get
1109 = 144 x 7 + 101
We consider the new divisor 144 and the new remainder 101,and apply the division lemma to get
144 = 101 x 1 + 43
We consider the new divisor 101 and the new remainder 43,and apply the division lemma to get
101 = 43 x 2 + 15
We consider the new divisor 43 and the new remainder 15,and apply the division lemma to get
43 = 15 x 2 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 1253 and 9880 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(43,15) = HCF(101,43) = HCF(144,101) = HCF(1109,144) = HCF(1253,1109) = HCF(9880,1253) .
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 1253, 9880?
Answer: HCF of 1253, 9880 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1253, 9880 using Euclid's Algorithm?
Answer: For arbitrary numbers 1253, 9880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.