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 969, 50876 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 969, 50876 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 969, 50876 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 969, 50876 is 1.
HCF(969, 50876) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 969, 50876 is 1.
Step 1: Since 50876 > 969, we apply the division lemma to 50876 and 969, to get
50876 = 969 x 52 + 488
Step 2: Since the reminder 969 ≠ 0, we apply division lemma to 488 and 969, to get
969 = 488 x 1 + 481
Step 3: We consider the new divisor 488 and the new remainder 481, and apply the division lemma to get
488 = 481 x 1 + 7
We consider the new divisor 481 and the new remainder 7,and apply the division lemma to get
481 = 7 x 68 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 969 and 50876 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(481,7) = HCF(488,481) = HCF(969,488) = HCF(50876,969) .
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 969, 50876?
Answer: HCF of 969, 50876 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 969, 50876 using Euclid's Algorithm?
Answer: For arbitrary numbers 969, 50876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.