Highest Common Factor of 940, 775, 480, 175 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 940, 775, 480, 175 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 940, 775, 480, 175 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 940, 775, 480, 175 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 940, 775, 480, 175 is 5.
HCF(940, 775, 480, 175) = 5
HCF of 940, 775, 480, 175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 940, 775, 480, 175 is 5.
Highest Common Factor of 940,775,480,175 is 5
Step 1: Since 940 > 775, we apply the division lemma to 940 and 775, to get
940 = 775 x 1 + 165
Step 2: Since the reminder 775 ≠ 0, we apply division lemma to 165 and 775, to get
775 = 165 x 4 + 115
Step 3: We consider the new divisor 165 and the new remainder 115, and apply the division lemma to get
165 = 115 x 1 + 50
We consider the new divisor 115 and the new remainder 50,and apply the division lemma to get
115 = 50 x 2 + 15
We consider the new divisor 50 and the new remainder 15,and apply the division lemma to get
50 = 15 x 3 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 940 and 775 is 5
Notice that 5 = HCF(15,5) = HCF(50,15) = HCF(115,50) = HCF(165,115) = HCF(775,165) = HCF(940,775) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 480 > 5, we apply the division lemma to 480 and 5, to get
480 = 5 x 96 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 480 is 5
Notice that 5 = HCF(480,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 175 > 5, we apply the division lemma to 175 and 5, to get
175 = 5 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 175 is 5
Notice that 5 = HCF(175,5) .
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Frequently Asked Questions on HCF of 940, 775, 480, 175 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 940, 775, 480, 175?
Answer: HCF of 940, 775, 480, 175 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 940, 775, 480, 175 using Euclid's Algorithm?
Answer: For arbitrary numbers 940, 775, 480, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.