Highest Common Factor of 6675, 1945 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 6675, 1945 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6675, 1945 is 5 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 6675, 1945 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 6675, 1945 is 5.
HCF(6675, 1945) = 5
HCF of 6675, 1945 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6675, 1945 is 5.
Highest Common Factor of 6675,1945 is 5
Step 1: Since 6675 > 1945, we apply the division lemma to 6675 and 1945, to get
6675 = 1945 x 3 + 840
Step 2: Since the reminder 1945 ≠ 0, we apply division lemma to 840 and 1945, to get
1945 = 840 x 2 + 265
Step 3: We consider the new divisor 840 and the new remainder 265, and apply the division lemma to get
840 = 265 x 3 + 45
We consider the new divisor 265 and the new remainder 45,and apply the division lemma to get
265 = 45 x 5 + 40
We consider the new divisor 45 and the new remainder 40,and apply the division lemma to get
45 = 40 x 1 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6675 and 1945 is 5
Notice that 5 = HCF(40,5) = HCF(45,40) = HCF(265,45) = HCF(840,265) = HCF(1945,840) = HCF(6675,1945) .
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Frequently Asked Questions on HCF of 6675, 1945 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 6675, 1945?
Answer: HCF of 6675, 1945 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6675, 1945 using Euclid's Algorithm?
Answer: For arbitrary numbers 6675, 1945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.