Highest Common Factor of 475, 715, 940, 722 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 475, 715, 940, 722 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 715, 940, 722 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 475, 715, 940, 722 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 475, 715, 940, 722 is 1.
HCF(475, 715, 940, 722) = 1
HCF of 475, 715, 940, 722 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 475, 715, 940, 722 is 1.
Highest Common Factor of 475,715,940,722 is 1
Step 1: Since 715 > 475, we apply the division lemma to 715 and 475, to get
715 = 475 x 1 + 240
Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 240 and 475, to get
475 = 240 x 1 + 235
Step 3: We consider the new divisor 240 and the new remainder 235, and apply the division lemma to get
240 = 235 x 1 + 5
We consider the new divisor 235 and the new remainder 5, and apply the division lemma to get
235 = 5 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 475 and 715 is 5
Notice that 5 = HCF(235,5) = HCF(240,235) = HCF(475,240) = HCF(715,475) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 940 > 5, we apply the division lemma to 940 and 5, to get
940 = 5 x 188 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 940 is 5
Notice that 5 = HCF(940,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 722 > 5, we apply the division lemma to 722 and 5, to get
722 = 5 x 144 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 722 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(722,5) .
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Frequently Asked Questions on HCF of 475, 715, 940, 722 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 475, 715, 940, 722?
Answer: HCF of 475, 715, 940, 722 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 715, 940, 722 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 715, 940, 722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.