Highest Common Factor of 740, 705, 253 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 740, 705, 253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 740, 705, 253 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 740, 705, 253 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 740, 705, 253 is 1.
HCF(740, 705, 253) = 1
HCF of 740, 705, 253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 740, 705, 253 is 1.
Highest Common Factor of 740,705,253 is 1
Step 1: Since 740 > 705, we apply the division lemma to 740 and 705, to get
740 = 705 x 1 + 35
Step 2: Since the reminder 705 ≠ 0, we apply division lemma to 35 and 705, to get
705 = 35 x 20 + 5
Step 3: We consider the new divisor 35 and the new remainder 5, and apply the division lemma to get
35 = 5 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 740 and 705 is 5
Notice that 5 = HCF(35,5) = HCF(705,35) = HCF(740,705) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 253 > 5, we apply the division lemma to 253 and 5, to get
253 = 5 x 50 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 253 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(253,5) .
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Frequently Asked Questions on HCF of 740, 705, 253 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 740, 705, 253?
Answer: HCF of 740, 705, 253 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 740, 705, 253 using Euclid's Algorithm?
Answer: For arbitrary numbers 740, 705, 253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.