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 651, 93506 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 651, 93506 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 651, 93506 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 651, 93506 is 7.
HCF(651, 93506) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 651, 93506 is 7.
Step 1: Since 93506 > 651, we apply the division lemma to 93506 and 651, to get
93506 = 651 x 143 + 413
Step 2: Since the reminder 651 ≠ 0, we apply division lemma to 413 and 651, to get
651 = 413 x 1 + 238
Step 3: We consider the new divisor 413 and the new remainder 238, and apply the division lemma to get
413 = 238 x 1 + 175
We consider the new divisor 238 and the new remainder 175,and apply the division lemma to get
238 = 175 x 1 + 63
We consider the new divisor 175 and the new remainder 63,and apply the division lemma to get
175 = 63 x 2 + 49
We consider the new divisor 63 and the new remainder 49,and apply the division lemma to get
63 = 49 x 1 + 14
We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get
49 = 14 x 3 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 651 and 93506 is 7
Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(63,49) = HCF(175,63) = HCF(238,175) = HCF(413,238) = HCF(651,413) = HCF(93506,651) .
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 651, 93506?
Answer: HCF of 651, 93506 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 651, 93506 using Euclid's Algorithm?
Answer: For arbitrary numbers 651, 93506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.