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 980, 93317 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 93317 is 7 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 980, 93317 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 980, 93317 is 7.
HCF(980, 93317) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 93317 is 7.
Step 1: Since 93317 > 980, we apply the division lemma to 93317 and 980, to get
93317 = 980 x 95 + 217
Step 2: Since the reminder 980 ≠ 0, we apply division lemma to 217 and 980, to get
980 = 217 x 4 + 112
Step 3: We consider the new divisor 217 and the new remainder 112, and apply the division lemma to get
217 = 112 x 1 + 105
We consider the new divisor 112 and the new remainder 105,and apply the division lemma to get
112 = 105 x 1 + 7
We consider the new divisor 105 and the new remainder 7,and apply the division lemma to get
105 = 7 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 980 and 93317 is 7
Notice that 7 = HCF(105,7) = HCF(112,105) = HCF(217,112) = HCF(980,217) = HCF(93317,980) .
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 980, 93317?
Answer: HCF of 980, 93317 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 93317 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 93317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.