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 977, 8330 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 977, 8330 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 977, 8330 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 977, 8330 is 1.
HCF(977, 8330) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 977, 8330 is 1.
Step 1: Since 8330 > 977, we apply the division lemma to 8330 and 977, to get
8330 = 977 x 8 + 514
Step 2: Since the reminder 977 ≠ 0, we apply division lemma to 514 and 977, to get
977 = 514 x 1 + 463
Step 3: We consider the new divisor 514 and the new remainder 463, and apply the division lemma to get
514 = 463 x 1 + 51
We consider the new divisor 463 and the new remainder 51,and apply the division lemma to get
463 = 51 x 9 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 8330 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(463,51) = HCF(514,463) = HCF(977,514) = HCF(8330,977) .
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 977, 8330?
Answer: HCF of 977, 8330 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 977, 8330 using Euclid's Algorithm?
Answer: For arbitrary numbers 977, 8330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.