Highest Common Factor of 995, 778, 554, 56 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 995, 778, 554, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 778, 554, 56 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 995, 778, 554, 56 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 995, 778, 554, 56 is 1.
HCF(995, 778, 554, 56) = 1
HCF of 995, 778, 554, 56 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 778, 554, 56 is 1.
Highest Common Factor of 995,778,554,56 is 1
Step 1: Since 995 > 778, we apply the division lemma to 995 and 778, to get
995 = 778 x 1 + 217
Step 2: Since the reminder 778 ≠ 0, we apply division lemma to 217 and 778, to get
778 = 217 x 3 + 127
Step 3: We consider the new divisor 217 and the new remainder 127, and apply the division lemma to get
217 = 127 x 1 + 90
We consider the new divisor 127 and the new remainder 90,and apply the division lemma to get
127 = 90 x 1 + 37
We consider the new divisor 90 and the new remainder 37,and apply the division lemma to get
90 = 37 x 2 + 16
We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get
37 = 16 x 2 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 778 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(90,37) = HCF(127,90) = HCF(217,127) = HCF(778,217) = HCF(995,778) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 554 > 1, we apply the division lemma to 554 and 1, to get
554 = 1 x 554 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 554 is 1
Notice that 1 = HCF(554,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1
Notice that 1 = HCF(56,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 995, 778, 554, 56 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 995, 778, 554, 56?
Answer: HCF of 995, 778, 554, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 778, 554, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 778, 554, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.