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 6953, 3148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6953, 3148 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 6953, 3148 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 6953, 3148 is 1.
HCF(6953, 3148) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6953, 3148 is 1.
Step 1: Since 6953 > 3148, we apply the division lemma to 6953 and 3148, to get
6953 = 3148 x 2 + 657
Step 2: Since the reminder 3148 ≠ 0, we apply division lemma to 657 and 3148, to get
3148 = 657 x 4 + 520
Step 3: We consider the new divisor 657 and the new remainder 520, and apply the division lemma to get
657 = 520 x 1 + 137
We consider the new divisor 520 and the new remainder 137,and apply the division lemma to get
520 = 137 x 3 + 109
We consider the new divisor 137 and the new remainder 109,and apply the division lemma to get
137 = 109 x 1 + 28
We consider the new divisor 109 and the new remainder 28,and apply the division lemma to get
109 = 28 x 3 + 25
We consider the new divisor 28 and the new remainder 25,and apply the division lemma to get
28 = 25 x 1 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 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 6953 and 3148 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(28,25) = HCF(109,28) = HCF(137,109) = HCF(520,137) = HCF(657,520) = HCF(3148,657) = HCF(6953,3148) .
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 6953, 3148?
Answer: HCF of 6953, 3148 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6953, 3148 using Euclid's Algorithm?
Answer: For arbitrary numbers 6953, 3148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.