Highest Common Factor of 550, 959, 775, 947 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 550, 959, 775, 947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 550, 959, 775, 947 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 550, 959, 775, 947 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 550, 959, 775, 947 is 1.
HCF(550, 959, 775, 947) = 1
HCF of 550, 959, 775, 947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 550, 959, 775, 947 is 1.
Highest Common Factor of 550,959,775,947 is 1
Step 1: Since 959 > 550, we apply the division lemma to 959 and 550, to get
959 = 550 x 1 + 409
Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 409 and 550, to get
550 = 409 x 1 + 141
Step 3: We consider the new divisor 409 and the new remainder 141, and apply the division lemma to get
409 = 141 x 2 + 127
We consider the new divisor 141 and the new remainder 127,and apply the division lemma to get
141 = 127 x 1 + 14
We consider the new divisor 127 and the new remainder 14,and apply the division lemma to get
127 = 14 x 9 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 550 and 959 is 1
Notice that 1 = HCF(14,1) = HCF(127,14) = HCF(141,127) = HCF(409,141) = HCF(550,409) = HCF(959,550) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 775 > 1, we apply the division lemma to 775 and 1, to get
775 = 1 x 775 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 775 is 1
Notice that 1 = HCF(775,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 947 > 1, we apply the division lemma to 947 and 1, to get
947 = 1 x 947 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 947 is 1
Notice that 1 = HCF(947,1) .
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Frequently Asked Questions on HCF of 550, 959, 775, 947 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 550, 959, 775, 947?
Answer: HCF of 550, 959, 775, 947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 550, 959, 775, 947 using Euclid's Algorithm?
Answer: For arbitrary numbers 550, 959, 775, 947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.