Highest Common Factor of 6356, 1972 using Euclid's algorithm
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 6356, 1972 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6356, 1972 is 4 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 6356, 1972 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 6356, 1972 is 4.
HCF(6356, 1972) = 4
HCF of 6356, 1972 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6356, 1972 is 4.
Highest Common Factor of 6356,1972 is 4
Step 1: Since 6356 > 1972, we apply the division lemma to 6356 and 1972, to get
6356 = 1972 x 3 + 440
Step 2: Since the reminder 1972 ≠ 0, we apply division lemma to 440 and 1972, to get
1972 = 440 x 4 + 212
Step 3: We consider the new divisor 440 and the new remainder 212, and apply the division lemma to get
440 = 212 x 2 + 16
We consider the new divisor 212 and the new remainder 16,and apply the division lemma to get
212 = 16 x 13 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6356 and 1972 is 4
Notice that 4 = HCF(16,4) = HCF(212,16) = HCF(440,212) = HCF(1972,440) = HCF(6356,1972) .
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Frequently Asked Questions on HCF of 6356, 1972 using Euclid's Algorithm
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 6356, 1972?
Answer: HCF of 6356, 1972 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6356, 1972 using Euclid's Algorithm?
Answer: For arbitrary numbers 6356, 1972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.