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 970, 65104 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 970, 65104 is 2 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 970, 65104 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 970, 65104 is 2.
HCF(970, 65104) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 970, 65104 is 2.
Step 1: Since 65104 > 970, we apply the division lemma to 65104 and 970, to get
65104 = 970 x 67 + 114
Step 2: Since the reminder 970 ≠ 0, we apply division lemma to 114 and 970, to get
970 = 114 x 8 + 58
Step 3: We consider the new divisor 114 and the new remainder 58, and apply the division lemma to get
114 = 58 x 1 + 56
We consider the new divisor 58 and the new remainder 56,and apply the division lemma to get
58 = 56 x 1 + 2
We consider the new divisor 56 and the new remainder 2,and apply the division lemma to get
56 = 2 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 970 and 65104 is 2
Notice that 2 = HCF(56,2) = HCF(58,56) = HCF(114,58) = HCF(970,114) = HCF(65104,970) .
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 970, 65104?
Answer: HCF of 970, 65104 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 970, 65104 using Euclid's Algorithm?
Answer: For arbitrary numbers 970, 65104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.