Highest Common Factor of 1957, 6782 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 1957, 6782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1957, 6782 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 1957, 6782 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 1957, 6782 is 1.
HCF(1957, 6782) = 1
HCF of 1957, 6782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1957, 6782 is 1.
Highest Common Factor of 1957,6782 is 1
Step 1: Since 6782 > 1957, we apply the division lemma to 6782 and 1957, to get
6782 = 1957 x 3 + 911
Step 2: Since the reminder 1957 ≠ 0, we apply division lemma to 911 and 1957, to get
1957 = 911 x 2 + 135
Step 3: We consider the new divisor 911 and the new remainder 135, and apply the division lemma to get
911 = 135 x 6 + 101
We consider the new divisor 135 and the new remainder 101,and apply the division lemma to get
135 = 101 x 1 + 34
We consider the new divisor 101 and the new remainder 34,and apply the division lemma to get
101 = 34 x 2 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1957 and 6782 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(101,34) = HCF(135,101) = HCF(911,135) = HCF(1957,911) = HCF(6782,1957) .
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Frequently Asked Questions on HCF of 1957, 6782 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 1957, 6782?
Answer: HCF of 1957, 6782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1957, 6782 using Euclid's Algorithm?
Answer: For arbitrary numbers 1957, 6782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.