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 931, 70407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 70407 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 931, 70407 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 931, 70407 is 1.
HCF(931, 70407) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 70407 is 1.
Step 1: Since 70407 > 931, we apply the division lemma to 70407 and 931, to get
70407 = 931 x 75 + 582
Step 2: Since the reminder 931 ≠ 0, we apply division lemma to 582 and 931, to get
931 = 582 x 1 + 349
Step 3: We consider the new divisor 582 and the new remainder 349, and apply the division lemma to get
582 = 349 x 1 + 233
We consider the new divisor 349 and the new remainder 233,and apply the division lemma to get
349 = 233 x 1 + 116
We consider the new divisor 233 and the new remainder 116,and apply the division lemma to get
233 = 116 x 2 + 1
We consider the new divisor 116 and the new remainder 1,and apply the division lemma to get
116 = 1 x 116 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 931 and 70407 is 1
Notice that 1 = HCF(116,1) = HCF(233,116) = HCF(349,233) = HCF(582,349) = HCF(931,582) = HCF(70407,931) .
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 931, 70407?
Answer: HCF of 931, 70407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 70407 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 70407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.